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1081607904 = 25341332099
BaseRepresentation
bin100000001111000…
…0000011011100000
32210101020101010000
41000132000123200
54203342423104
6255154340000
735542341546
oct10036003340
92711211100
101081607904
115055a3033
1226228a600
131431113a0
14a3911d96
1564e51639
hex407806e0

1081607904 has 120 divisors (see below), whose sum is σ = 3425776200. Its totient is φ = 332792064.

The previous prime is 1081607899. The next prime is 1081607911. The reversal of 1081607904 is 4097061801.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17647 + ... + 49745.

It is an arithmetic number, because the mean of its divisors is an integer number (28548135).

Almost surely, 21081607904 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 1081607904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712888100).

1081607904 is an abundant number, since it is smaller than the sum of its proper divisors (2344168296).

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

1081607904 is a wasteful number, since it uses less digits than its factorization.

1081607904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32134 (or 32117 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1081607904 is about 32887.8078320827. The cubic root of 1081607904 is about 1026.4944779723.

The spelling of 1081607904 in words is "one billion, eighty-one million, six hundred seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 32099 33696 64198 96297 128396 192594 256792 288891 385188 417287 513584 577782 770376 834574 866673 1027168 1155564 1251861 1540752 1669148 1733346 2311128 2503722 2600019 3081504 3338296 3466692 3755583 4622256 5007444 5200038 6676592 6933384 7511166 9244512 10014888 10400076 11266749 13353184 13866768 15022332 20029776 20800152 22533498 27733536 30044664 33800247 40059552 41600304 45066996 60089328 67600494 83200608 90133992 120178656 135200988 180267984 270401976 360535968 540803952 1081607904