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55660590 = 23251314721
BaseRepresentation
bin1101010001010…
…1000000101110
310212201211222100
43110111000232
5103222114330
65304555530
71244051526
oct324250056
9125654870
1055660590
1129467697
1216782ba6
13b6baa7b
14756c686
154d47060
hex351502e

55660590 has 48 divisors (see below), whose sum is σ = 145853136. Its totient is φ = 14726400.

The previous prime is 55660573. The next prime is 55660607. The reversal of 55660590 is 9506655.

55660590 is a `hidden beast` number, since 5 + 5 + 6 + 60 + 590 = 666.

It is an interprime number because it is at equal distance from previous prime (55660573) and next prime (55660607).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9430 + ... + 14150.

It is an arithmetic number, because the mean of its divisors is an integer number (3038607).

Almost surely, 255660590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55660590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72926568).

55660590 is an abundant number, since it is smaller than the sum of its proper divisors (90192546).

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

55660590 is a wasteful number, since it uses less digits than its factorization.

55660590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4865 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 55660590 is about 7460.6025225849. The cubic root of 55660590 is about 381.8117316474.

The spelling of 55660590 in words is "fifty-five million, six hundred sixty thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1965 2358 3930 4721 5895 9442 11790 14163 23605 28326 42489 47210 70815 84978 141630 212445 424890 618451 1236902 1855353 3092255 3710706 5566059 6184510 9276765 11132118 18553530 27830295 55660590