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104654144 = 267792957
BaseRepresentation
bin1100011110011…
…10010101000000
321021220222111102
412033032111000
5203242413034
614215033532
72410355060
oct617162500
9237828442
10104654144
1154090231
122b06b8a8
13188b303a
14dc833a0
1592c397e
hex63ce540

104654144 has 56 divisors (see below), whose sum is σ = 240426240. Its totient is φ = 44269056.

The previous prime is 104654113. The next prime is 104654149. The reversal of 104654144 is 441456401.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104654149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33914 + ... + 36870.

Almost surely, 2104654144 is an apocalyptic number.

104654144 is a gapful number since it is divisible by the number (14) 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 104654144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120213120).

104654144 is an abundant number, since it is smaller than the sum of its proper divisors (135772096).

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

104654144 is an equidigital number, since it uses as much as digits as its factorization.

104654144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3045 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 104654144 is about 10230.0608013833. The cubic root of 104654144 is about 471.2508464361.

The spelling of 104654144 in words is "one hundred four million, six hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 158 224 316 448 553 632 1106 1264 2212 2528 2957 4424 5056 5914 8848 11828 17696 20699 23656 35392 41398 47312 82796 94624 165592 189248 233603 331184 467206 662368 934412 1324736 1635221 1868824 3270442 3737648 6540884 7475296 13081768 14950592 26163536 52327072 104654144