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10034251040 = 2551135915881
BaseRepresentation
bin10010101100001011…
…01000010100100000
3221220022012202201102
421112011220110200
5131022232013130
64335404453532
7503441504132
oct112605502440
927808182642
1010034251040
11428a089360
121b4054a2a8
13c3bb20368
146b291b052
153dadc6645
hex256168520

10034251040 has 96 divisors (see below), whose sum is σ = 25934670720. Its totient is φ = 3638425600.

The previous prime is 10034251033. The next prime is 10034251043. The reversal of 10034251040 is 4015243001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10034251043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623900 + ... + 639780.

It is an arithmetic number, because the mean of its divisors is an integer number (270152820).

Almost surely, 210034251040 is an apocalyptic number.

10034251040 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 10034251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12967335360).

10034251040 is an abundant number, since it is smaller than the sum of its proper divisors (15900419680).

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

10034251040 is a wasteful number, since it uses less digits than its factorization.

10034251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16266 (or 16258 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10034251040 its reverse (4015243001), we get a palindrome (14049494041).

The spelling of 10034251040 in words is "ten billion, thirty-four million, two hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 359 440 718 880 1436 1760 1795 2872 3590 3949 5744 7180 7898 11488 14360 15796 15881 19745 28720 31592 31762 39490 57440 63184 63524 78980 79405 126368 127048 157960 158810 174691 254096 315920 317620 349382 508192 631840 635240 698764 873455 1270480 1397528 1746910 2540960 2795056 3493820 5590112 5701279 6987640 11402558 13975280 22805116 27950560 28506395 45610232 57012790 62714069 91220464 114025580 125428138 182440928 228051160 250856276 313570345 456102320 501712552 627140690 912204640 1003425104 1254281380 2006850208 2508562760 5017125520 10034251040