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1426635540 = 2232511838681
BaseRepresentation
bin101010100001000…
…1011101100010100
310200102110121001100
41111002023230110
510410204314130
6353321430100
750232126201
oct12502135424
93612417040
101426635540
11672331440
1233993b330
13199746255
14d7686ca8
15853a6c60
hex5508bb14

1426635540 has 144 divisors (see below), whose sum is σ = 4778294976. Its totient is φ = 341644800.

The previous prime is 1426635523. The next prime is 1426635547. The reversal of 1426635540 is 455366241.

1426635540 is a `hidden beast` number, since 1 + 4 + 266 + 355 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1426635495 and 1426635504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426635547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160000 + ... + 168680.

It is an arithmetic number, because the mean of its divisors is an integer number (33182604).

Almost surely, 21426635540 is an apocalyptic number.

1426635540 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 1426635540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389147488).

1426635540 is an abundant number, since it is smaller than the sum of its proper divisors (3351659436).

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

1426635540 is a wasteful number, since it uses less digits than its factorization.

1426635540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8790 (or 8785 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 1426635540 is about 37770.8292204447. The cubic root of 1426635540 is about 1125.7389160446.

The spelling of 1426635540 in words is "one billion, four hundred twenty-six million, six hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 83 90 99 110 132 165 166 180 198 220 249 330 332 396 415 495 498 660 747 830 913 990 996 1245 1494 1660 1826 1980 2490 2739 2988 3652 3735 4565 4980 5478 7470 8217 8681 9130 10956 13695 14940 16434 17362 18260 26043 27390 32868 34724 41085 43405 52086 54780 78129 82170 86810 95491 104172 130215 156258 164340 173620 190982 260430 286473 312516 381964 390645 477455 520860 572946 720523 781290 859419 954910 1145892 1432365 1441046 1562580 1718838 1909820 2161569 2864730 2882092 3437676 3602615 4297095 4323138 5729460 6484707 7205230 7925753 8594190 8646276 10807845 12969414 14410460 15851506 17188380 21615690 23777259 25938828 31703012 32423535 39628765 43231380 47554518 64847070 71331777 79257530 95109036 118886295 129694140 142663554 158515060 237772590 285327108 356658885 475545180 713317770 1426635540