Search a number
-
+
1053731328 = 29313113467
BaseRepresentation
bin111110110011101…
…010101000000000
32201102210002122020
4332303222220000
54124223400303
6252321041440
735053365666
oct7663525000
92642702566
101053731328
114a0892a41
12254a86280
1313a400a80
149dd36c36
1562796a53
hex3eceaa00

1053731328 has 160 divisors (see below), whose sum is σ = 3056429376. Its totient is φ = 320667648.

The previous prime is 1053731321. The next prime is 1053731347. The reversal of 1053731328 is 8231373501.

It is a super-2 number, since 2×10537313282 = 2220699423217287168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053731321) 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, 2256151 + ... + 2256617.

Almost surely, 21053731328 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 1053731328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528214688).

1053731328 is an abundant number, since it is smaller than the sum of its proper divisors (2002698048).

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

1053731328 is a wasteful number, since it uses less digits than its factorization.

1053731328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1053731328 is about 32461.2280728872. The cubic root of 1053731328 is about 1017.5989043143.

The spelling of 1053731328 in words is "one billion, fifty-three million, seven hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 113 128 156 192 208 226 256 312 339 384 416 452 467 512 624 678 768 832 904 934 1248 1356 1401 1469 1536 1664 1808 1868 2496 2712 2802 2938 3328 3616 3736 4407 4992 5424 5604 5876 6071 6656 7232 7472 8814 9984 10848 11208 11752 12142 14464 14944 17628 18213 19968 21696 22416 23504 24284 28928 29888 35256 36426 43392 44832 47008 48568 52771 57856 59776 70512 72852 86784 89664 94016 97136 105542 119552 141024 145704 158313 173568 179328 188032 194272 211084 239104 282048 291408 316626 358656 376064 388544 422168 564096 582816 633252 686023 717312 752128 777088 844336 1128192 1165632 1266504 1372046 1554176 1688672 2058069 2256384 2331264 2533008 2744092 3108352 3377344 4116138 4662528 5066016 5488184 6754688 8232276 9325056 10132032 10976368 13509376 16464552 20264064 21952736 27018752 32929104 40528128 43905472 65858208 81056256 87810944 131716416 175621888 263432832 351243776 526865664 1053731328