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55123680 = 2535412801
BaseRepresentation
bin1101001001000…
…1111011100000
310211201120110210
43102101323200
5103102424210
65245254120
71236354303
oct322217340
9124646423
1055123680
1129130267
1216564340
13b560581
14746cb3a
154c8ce20
hex3491ee0

55123680 has 96 divisors (see below), whose sum is σ = 177938208. Its totient is φ = 14336000.

The previous prime is 55123667. The next prime is 55123697. The reversal of 55123680 is 8632155.

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 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, 18280 + ... + 21080.

It is an arithmetic number, because the mean of its divisors is an integer number (1853523).

Almost surely, 255123680 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 55123680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88969104).

55123680 is an abundant number, since it is smaller than the sum of its proper divisors (122814528).

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

55123680 is a wasteful number, since it uses less digits than its factorization.

55123680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 55123680 is about 7424.5323085027. The cubic root of 55123680 is about 380.5800927657.

The spelling of 55123680 in words is "fifty-five million, one hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 80 82 96 120 123 160 164 205 240 246 328 410 480 492 615 656 820 984 1230 1312 1640 1968 2460 2801 3280 3936 4920 5602 6560 8403 9840 11204 14005 16806 19680 22408 28010 33612 42015 44816 56020 67224 84030 89632 112040 114841 134448 168060 224080 229682 268896 336120 344523 448160 459364 574205 672240 689046 918728 1148410 1344480 1378092 1722615 1837456 2296820 2756184 3445230 3674912 4593640 5512368 6890460 9187280 11024736 13780920 18374560 27561840 55123680