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104466720 = 25351032113
BaseRepresentation
bin1100011101000…
…00100100100000
321021120110101210
412032200210200
5203220413340
614211030120
72405644461
oct616404440
9237513353
10104466720
1153a72436
122ab9b340
1318848937
14dc34d68
159288180
hex63a0920

104466720 has 96 divisors (see below), whose sum is σ = 332422272. Its totient is φ = 27574272.

The previous prime is 104466707. The next prime is 104466767. The reversal of 104466720 is 27664401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48384 + ... + 50496.

It is an arithmetic number, because the mean of its divisors is an integer number (3462732).

Almost surely, 2104466720 is an apocalyptic number.

104466720 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 104466720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166211136).

104466720 is an abundant number, since it is smaller than the sum of its proper divisors (227955552).

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

104466720 is a wasteful number, since it uses less digits than its factorization.

104466720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 104466720 is about 10220.8962425024. The cubic root of 104466720 is about 470.9693589454.

The spelling of 104466720 in words is "one hundred four million, four hundred sixty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 618 824 1030 1236 1545 1648 2060 2113 2472 3090 3296 4120 4226 4944 6180 6339 8240 8452 9888 10565 12360 12678 16480 16904 21130 24720 25356 31695 33808 42260 49440 50712 63390 67616 84520 101424 126780 169040 202848 217639 253560 338080 435278 507120 652917 870556 1014240 1088195 1305834 1741112 2176390 2611668 3264585 3482224 4352780 5223336 6529170 6964448 8705560 10446672 13058340 17411120 20893344 26116680 34822240 52233360 104466720