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1032014104 = 2311174361263
BaseRepresentation
bin111101100000110…
…100100100011000
32122220220202012121
4331200310210120
54103143422404
6250223351024
734400655322
oct7540644430
92586822177
101032014104
1148a5aa520
12249752474
13135a68b44
149b0c2612
1560906e54
hex3d834918

1032014104 has 128 divisors (see below), whose sum is σ = 2333422080. Its totient is φ = 422553600.

The previous prime is 1032014099. The next prime is 1032014107. The reversal of 1032014104 is 4014102301.

It is a super-2 number, since 2×10320141042 = 2130106221709845632, which contains 22 as substring.

1032014104 is a modest number, since divided by 14104 gives 10320 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032014107) 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 31 ways as a sum of consecutive naturals, for example, 3923877 + ... + 3924139.

It is an arithmetic number, because the mean of its divisors is an integer number (18229860).

Almost surely, 21032014104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032014104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166711040).

1032014104 is an abundant number, since it is smaller than the sum of its proper divisors (1301407976).

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

1032014104 is a wasteful number, since it uses less digits than its factorization.

1032014104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1032014104 is about 32124.9763268395. The cubic root of 1032014104 is about 1010.5594730596.

Adding to 1032014104 its reverse (4014102301), we get a palindrome (5046116405).

The spelling of 1032014104 in words is "one billion, thirty-two million, fourteen thousand, one hundred four".

Divisors: 1 2 4 8 11 17 22 34 43 44 61 68 86 88 122 136 172 187 244 263 344 374 473 488 526 671 731 748 946 1037 1052 1342 1462 1496 1892 2074 2104 2623 2684 2893 2924 3784 4148 4471 5246 5368 5786 5848 8041 8296 8942 10492 11309 11407 11572 16043 16082 17884 20984 22618 22814 23144 28853 32086 32164 35768 44591 45236 45628 49181 57706 64172 64328 89182 90472 91256 98362 115412 124399 128344 176473 178364 192253 196724 230824 248798 272731 352946 356728 384506 393448 490501 497596 545462 689849 705892 769012 981002 995192 1090924 1379698 1411784 1538024 1962004 2114783 2181848 2759396 3000041 3924008 4229566 5518792 6000082 7588339 8459132 11727433 12000164 15176678 16918264 23454866 24000328 30353356 46909732 60706712 93819464 129001763 258003526 516007052 1032014104