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55107360 = 25325721171
BaseRepresentation
bin1101001000110…
…1111100100000
310211200202002100
43102031330200
5103101413420
65245050400
71236255600
oct322157440
9124622070
1055107360
1129119a80
1216556a00
13b556009
147466c00
154c88190
hex348df20

55107360 has 432 divisors, whose sum is σ = 242004672. Its totient is φ = 11289600.

The previous prime is 55107343. The next prime is 55107361. The reversal of 55107360 is 6370155.

It is a super-2 number, since 2×551073602 = 6073642252339200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (55107361) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 776125 + ... + 776195.

It is an arithmetic number, because the mean of its divisors is an integer number (560196).

Almost surely, 255107360 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 55107360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121002336).

55107360 is an abundant number, since it is smaller than the sum of its proper divisors (186897312).

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

55107360 is a wasteful number, since it uses less digits than its factorization.

55107360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 55107360 is about 7423.4331680160. The cubic root of 55107360 is about 380.5425306861.

The spelling of 55107360 in words is "fifty-five million, one hundred seven thousand, three hundred sixty".