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1426232160 = 253258311933
BaseRepresentation
bin101010100000010…
…1001001101100000
310200101201002201100
41111000221031200
510410103412120
6353305034400
750225526153
oct12500511540
93611632640
101426232160
11672086371
12339785a00
13199634772
14d75bdc9a
1585327490
hex55029360

1426232160 has 144 divisors (see below), whose sum is σ = 4926068784. Its totient is φ = 375714816.

The previous prime is 1426232107. The next prime is 1426232161. The reversal of 1426232160 is 612326241.

1426232160 is a `hidden beast` number, since 1 + 426 + 23 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426232161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113554 + ... + 125486.

It is an arithmetic number, because the mean of its divisors is an integer number (34208811).

Almost surely, 21426232160 is an apocalyptic number.

1426232160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1426232160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2463034392).

1426232160 is an abundant number, since it is smaller than the sum of its proper divisors (3499836624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1426232160 is a wasteful number, since it uses less digits than its factorization.

1426232160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12037 (or 12026 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1426232160 is about 37765.4890078230. The cubic root of 1426232160 is about 1125.6328054656.

It can be divided in two parts, 1426 and 232160, that added together give a triangular number (233586 = T683).

The spelling of 1426232160 in words is "one billion, four hundred twenty-six million, two hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 83 90 96 120 144 160 166 180 240 249 288 332 360 415 480 498 664 720 747 830 996 1245 1328 1440 1494 1660 1992 2490 2656 2988 3320 3735 3984 4980 5976 6640 7470 7968 9960 11933 11952 13280 14940 19920 23866 23904 29880 35799 39840 47732 59665 59760 71598 95464 107397 119330 119520 143196 178995 190928 214794 238660 286392 357990 381856 429588 477320 536985 572784 715980 859176 954640 990439 1073970 1145568 1431960 1718352 1909280 1980878 2147940 2863920 2971317 3436704 3961756 4295880 4952195 5727840 5942634 7923512 8591760 8913951 9904390 11885268 14856585 15847024 17183520 17827902 19808780 23770536 29713170 31694048 35655804 39617560 44569755 47541072 59426340 71311608 79235120 89139510 95082144 118852680 142623216 158470240 178279020 237705360 285246432 356558040 475410720 713116080 1426232160