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5630144 = 261367101
BaseRepresentation
bin10101011110100011000000
3101121001002212
4111132203000
52420131034
6320401252
765566262
oct25364300
911531085
105630144
1131a6013
121a76228
131221860
14a67b32
157632ce
hex55e8c0

5630144 has 56 divisors (see below), whose sum is σ = 12332208. Its totient is φ = 2534400.

The previous prime is 5630129. The next prime is 5630159. The reversal of 5630144 is 4410365.

5630144 = T376 + T377 + ... + T442.

It is a happy number.

5630144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5630129) and next prime (5630159).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55694 + ... + 55794.

It is an arithmetic number, because the mean of its divisors is an integer number (220218).

Almost surely, 25630144 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 5630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6166104).

5630144 is an abundant number, since it is smaller than the sum of its proper divisors (6702064).

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

5630144 is a wasteful number, since it uses less digits than its factorization.

5630144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 5630144 is about 2372.7924477290. The cubic root of 5630144 is about 177.8988610308.

The spelling of 5630144 in words is "five million, six hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 101 104 134 202 208 268 404 416 536 808 832 871 1072 1313 1616 1742 2144 2626 3232 3484 4288 5252 6464 6767 6968 10504 13534 13936 21008 27068 27872 42016 54136 55744 84032 87971 108272 175942 216544 351884 433088 703768 1407536 2815072 5630144