Search a number
-
+
1426641030 = 2325196131361
BaseRepresentation
bin101010100001000…
…1101000010000110
310200102110212120200
41111002031002012
510410210003110
6353321511330
750232151203
oct12502150206
93612425520
101426641030
11672335581
12339942546
131997488b9
14d7688caa
15853a86c0
hex5508d086

1426641030 has 96 divisors (see below), whose sum is σ = 3913734240. Its totient is φ = 359562240.

The previous prime is 1426641017. The next prime is 1426641053. The reversal of 1426641030 is 301466241.

1426641030 is a `hidden beast` number, since 14 + 2 + 6 + 641 + 0 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1426640985 and 1426641003.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1047550 + ... + 1048910.

It is an arithmetic number, because the mean of its divisors is an integer number (40768065).

Almost surely, 21426641030 is an apocalyptic number.

1426641030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1426641030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956867120).

1426641030 is an abundant number, since it is smaller than the sum of its proper divisors (2487093210).

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

1426641030 is a wasteful number, since it uses less digits than its factorization.

1426641030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 2003 counting only the distinct ones).

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

The square root of 1426641030 is about 37770.9018955068. The cubic root of 1426641030 is about 1125.7403600712.

The spelling of 1426641030 in words is "one billion, four hundred twenty-six million, six hundred forty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 613 855 1226 1361 1710 1839 2722 3065 3678 4083 5517 6130 6805 8166 9195 11034 11647 12249 13610 18390 20415 23294 24498 25859 27585 34941 40830 51718 55170 58235 61245 69882 77577 104823 116470 122490 129295 155154 174705 209646 232731 258590 349410 387885 465462 524115 775770 834293 1048230 1163655 1668586 2327310 2502879 4171465 5005758 7508637 8342930 12514395 15017274 15851567 25028790 31703134 37543185 47554701 75086370 79257835 95109402 142664103 158515670 237773505 285328206 475547010 713320515 1426641030