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1076135364 = 2232293141811
BaseRepresentation
bin100000000100100…
…1000010111000100
32202222221100012100
41000021020113010
54200442312424
6254441152100
735444666613
oct10011102704
92688840170
101076135364
115024a5477
1226048b630
13141c464b5
14a2cc987a
156471edc9
hex402485c4

1076135364 has 144 divisors (see below), whose sum is σ = 2979325440. Its totient is φ = 326592000.

The previous prime is 1076135353. The next prime is 1076135369. The reversal of 1076135364 is 4635316701.

1076135364 is a `hidden beast` number, since 1 + 0 + 7 + 613 + 5 + 36 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1076135369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1326519 + ... + 1327329.

It is an arithmetic number, because the mean of its divisors is an integer number (20689760).

Almost surely, 21076135364 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 1076135364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489662720).

1076135364 is an abundant number, since it is smaller than the sum of its proper divisors (1903190076).

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

1076135364 is a wasteful number, since it uses less digits than its factorization.

1076135364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1076135364 is about 32804.5021910103. The cubic root of 1076135364 is about 1024.7603211953.

The spelling of 1076135364 in words is "one billion, seventy-six million, one hundred thirty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 41 58 62 82 87 93 116 123 124 164 174 186 246 261 279 348 369 372 492 522 558 738 811 899 1044 1116 1189 1271 1476 1622 1798 2378 2433 2542 2697 3244 3567 3596 3813 4756 4866 5084 5394 7134 7299 7626 8091 9732 10701 10788 11439 14268 14598 15252 16182 21402 22878 23519 25141 29196 32364 33251 36859 42804 45756 47038 50282 66502 70557 73718 75423 94076 99753 100564 110577 133004 141114 147436 150846 199506 211671 221154 226269 282228 299259 301692 331731 399012 423342 442308 452538 598518 663462 729089 846684 905076 964279 1030781 1197036 1326924 1458178 1928558 2061562 2187267 2892837 2916356 3092343 3857116 4123124 4374534 5785674 6184686 6561801 8678511 8749068 9277029 11571348 12369372 13123602 17357022 18554058 26247204 29892649 34714044 37108116 59785298 89677947 119570596 179355894 269033841 358711788 538067682 1076135364