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13855104 = 273319211
BaseRepresentation
bin110100110110…
…100110000000
3222001220122000
4310312212000
512021330404
61212544000
7225523614
oct64664600
928056560
1013855104
1179035aa
124782000
132b414b3
141ba9344
15133a339
hexd36980

13855104 has 128 divisors (see below), whose sum is σ = 43248000. Its totient is φ = 4354560.

The previous prime is 13855097. The next prime is 13855111. The reversal of 13855104 is 40155831.

It is an interprime number because it is at equal distance from previous prime (13855097) and next prime (13855111).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 65559 + ... + 65769.

It is an arithmetic number, because the mean of its divisors is an integer number (337875).

Almost surely, 213855104 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 13855104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21624000).

13855104 is an abundant number, since it is smaller than the sum of its proper divisors (29392896).

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

13855104 is a wasteful number, since it uses less digits than its factorization.

13855104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 13855104 is about 3722.2444841789. The cubic root of 13855104 is about 240.1798651685.

The spelling of 13855104 in words is "thirteen million, eight hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 211 216 228 288 304 342 384 422 432 456 513 576 608 633 684 844 864 912 1026 1152 1216 1266 1368 1688 1728 1824 1899 2052 2432 2532 2736 3376 3456 3648 3798 4009 4104 5064 5472 5697 6752 7296 7596 8018 8208 10128 10944 11394 12027 13504 15192 16036 16416 20256 21888 22788 24054 27008 30384 32072 32832 36081 40512 45576 48108 60768 64144 65664 72162 81024 91152 96216 108243 121536 128288 144324 182304 192432 216486 243072 256576 288648 364608 384864 432972 513152 577296 729216 769728 865944 1154592 1539456 1731888 2309184 3463776 4618368 6927552 13855104