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55407660 = 223571167179
BaseRepresentation
bin1101001101011…
…1010000101100
310212021000000120
43103113100230
5103141021120
65255324540
71241646240
oct323272054
9125230016
1055407660
1129304660
1216680750
13b62c8c9
147504420
154ce7140
hex34d742c

55407660 has 192 divisors, whose sum is σ = 197406720. Its totient is φ = 11278080.

The previous prime is 55407659. The next prime is 55407731. The reversal of 55407660 is 6670455.

55407660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 309451 + ... + 309629.

It is an arithmetic number, because the mean of its divisors is an integer number (1028160).

Almost surely, 255407660 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 55407660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98703360).

55407660 is an abundant number, since it is smaller than the sum of its proper divisors (141999060).

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

55407660 is a wasteful number, since it uses less digits than its factorization.

55407660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 55407660 is about 7443.6321779088. The cubic root of 55407660 is about 381.2325169802.

The spelling of 55407660 in words is "fifty-five million, four hundred seven thousand, six hundred sixty".