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1083900272 = 247134167271
BaseRepresentation
bin100000010011011…
…0000000101110000
32210112112211122112
41000212300011300
54204434302042
6255315424452
735601000050
oct10046600560
92715484575
101083900272
11506919354
12262bb5128
13143734910
14a3d4b560
1565255982
hex409b0170

1083900272 has 160 divisors (see below), whose sum is σ = 2697160704. Its totient is φ = 410572800.

The previous prime is 1083900253. The next prime is 1083900283. The reversal of 1083900272 is 2720093801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3999497 + ... + 3999767.

Almost surely, 21083900272 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 1083900272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348580352).

1083900272 is an abundant number, since it is smaller than the sum of its proper divisors (1613260432).

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

1083900272 is a wasteful number, since it uses less digits than its factorization.

1083900272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 1083900272 is about 32922.6407203310. The cubic root of 1083900272 is about 1027.2191529815.

The spelling of 1083900272 in words is "one billion, eighty-three million, nine hundred thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 41 52 56 67 82 91 104 112 134 164 182 208 268 271 287 328 364 469 533 536 542 574 656 728 871 938 1066 1072 1084 1148 1456 1742 1876 1897 2132 2168 2296 2747 3484 3523 3731 3752 3794 4264 4336 4592 5494 6097 6968 7046 7462 7504 7588 8528 10988 11111 12194 13936 14092 14924 15176 18157 19229 21976 22222 24388 24661 28184 29848 30352 35711 36314 38458 43952 44444 48776 49322 56368 59696 71422 72628 76916 77777 88888 97552 98644 127099 142844 144443 145256 153832 155554 177776 197288 236041 249977 254198 285688 288886 290512 307664 311108 394576 472082 499954 508396 571376 577772 622216 744437 944164 999908 1011101 1016792 1155544 1244432 1488874 1652287 1888328 1999816 2022202 2033584 2311088 2977748 3304574 3776656 3999632 4044404 5211059 5955496 6609148 8088808 9677681 10422118 11910992 13218296 16177616 19355362 20844236 26436592 38710724 41688472 67743767 77421448 83376944 135487534 154842896 270975068 541950136 1083900272