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104557024 = 25111373313
BaseRepresentation
bin1100011101101…
…10100111100000
321021202001021101
412032312213200
5203231311044
614213004144
72406501655
oct616664740
9237661241
10104557024
1154024270
122b023654
131887aa80
14dc59c2c
1592a4cd4
hex63b69e0

104557024 has 96 divisors (see below), whose sum is σ = 245929824. Its totient is φ = 43130880.

The previous prime is 104556997. The next prime is 104557031. The reversal of 104557024 is 420755401.

It is a junction number, because it is equal to n+sod(n) for n = 104556983 and 104557001.

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, 333892 + ... + 334204.

It is an arithmetic number, because the mean of its divisors is an integer number (2561769).

Almost surely, 2104557024 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 104557024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122964912).

104557024 is an abundant number, since it is smaller than the sum of its proper divisors (141372800).

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

104557024 is a wasteful number, since it uses less digits than its factorization.

104557024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 104557024 is about 10225.3129047477. The cubic root of 104557024 is about 471.1050262917.

The spelling of 104557024 in words is "one hundred four million, five hundred fifty-seven thousand, twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 73 88 104 143 146 176 208 286 292 313 352 416 572 584 626 803 949 1144 1168 1252 1606 1898 2288 2336 2504 3212 3443 3796 4069 4576 5008 6424 6886 7592 8138 10016 10439 12848 13772 15184 16276 20878 22849 25696 27544 30368 32552 41756 44759 45698 55088 65104 83512 89518 91396 110176 130208 167024 179036 182792 251339 297037 334048 358072 365584 502678 594074 716144 731168 1005356 1188148 1432288 2010712 2376296 3267407 4021424 4752592 6534814 8042848 9505184 13069628 26139256 52278512 104557024