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104465920 = 295134373
BaseRepresentation
bin1100011101000…
…00011000000000
321021120102022011
412032200120000
5203220402140
614211022304
72405642236
oct616403000
9237512264
10104465920
1153a71879
122ab9a994
1318848470
14dc34956
159287cea
hex63a0600

104465920 has 160 divisors (see below), whose sum is σ = 279794592. Its totient is φ = 37158912.

The previous prime is 104465903. The next prime is 104465923. The reversal of 104465920 is 29564401.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104465923) 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, 1431004 + ... + 1431076.

Almost surely, 2104465920 is an apocalyptic number.

104465920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139897296).

104465920 is an abundant number, since it is smaller than the sum of its proper divisors (175328672).

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

104465920 is an equidigital number, since it uses as much as digits as its factorization.

104465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 104465920 is about 10220.8571069162. The cubic root of 104465920 is about 470.9681567237.

The spelling of 104465920 in words is "one hundred four million, four hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 43 52 64 65 73 80 86 104 128 130 146 160 172 208 215 256 260 292 320 344 365 416 430 512 520 559 584 640 688 730 832 860 949 1040 1118 1168 1280 1376 1460 1664 1720 1898 2080 2236 2336 2560 2752 2795 2920 3139 3328 3440 3796 4160 4472 4672 4745 5504 5590 5840 6278 6656 6880 7592 8320 8944 9344 9490 11008 11180 11680 12556 13760 15184 15695 16640 17888 18688 18980 22016 22360 23360 25112 27520 30368 31390 33280 35776 37376 37960 40807 44720 46720 50224 55040 60736 62780 71552 75920 81614 89440 93440 100448 110080 121472 125560 143104 151840 163228 178880 186880 200896 204035 242944 251120 286208 303680 326456 357760 401792 408070 485888 502240 607360 652912 715520 803584 816140 1004480 1214720 1305824 1431040 1607168 1632280 2008960 2429440 2611648 3264560 4017920 5223296 6529120 8035840 10446592 13058240 20893184 26116480 52232960 104465920