Search a number
-
+
1057940676 = 22341321392
BaseRepresentation
bin111111000011101…
…110010011000100
32201201200221210000
4333003232103010
54131313100201
6252551201300
735134230102
oct7703562304
92651627700
101057940676
114a31a8541
12256376230
1313b245a00
14a0710c72
1562d28d86
hex3f0ee4c4

1057940676 has 135 divisors (see below), whose sum is σ = 3016474461. Its totient is φ = 323178336.

The previous prime is 1057940633. The next prime is 1057940693. The reversal of 1057940676 is 6760497501.

It is a happy number.

The square root of 1057940676 is 32526.

It is a perfect power (a square), and thus also a powerful number.

1057940676 is a `hidden beast` number, since 1 + 0 + 579 + 4 + 0 + 6 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 156500100 + 901440576 = 12510^2 + 30024^2 .

It is a super-2 number, since 2×10579406762 = 2238476947870673952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7611015 + ... + 7611153.

Almost surely, 21057940676 is an apocalyptic number.

1057940676 is the 32526-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057940676

1057940676 is an abundant number, since it is smaller than the sum of its proper divisors (1958533785).

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

1057940676 is a wasteful number, since it uses less digits than its factorization.

1057940676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The cubic root of 1057940676 is about 1018.9521072113.

The spelling of 1057940676 in words is "one billion, fifty-seven million, nine hundred forty thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 139 156 162 169 234 278 324 338 351 417 468 507 556 676 702 834 1014 1053 1251 1404 1521 1668 1807 2028 2106 2502 3042 3614 3753 4212 4563 5004 5421 6084 7228 7506 9126 10842 11259 13689 15012 16263 18252 19321 21684 22518 23491 27378 32526 38642 45036 46982 48789 54756 57963 65052 70473 77284 93964 97578 115926 140946 146367 173889 195156 211419 231852 251173 281892 292734 347778 422838 502346 521667 585468 634257 695556 753519 845676 1004692 1043334 1268514 1507038 1565001 1902771 2086668 2260557 2537028 3014076 3130002 3265249 3805542 4521114 6260004 6530498 6781671 7611084 9042228 9795747 13060996 13563342 19591494 20345013 27126684 29387241 39182988 40690026 58774482 81380052 88161723 117548964 176323446 264485169 352646892 528970338 1057940676