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5160288 = 253721097
BaseRepresentation
bin10011101011110101100000
3100201011120210
4103223311200
52310112123
6302334120
761601400
oct23536540
910634523
105160288
112a05001
12188a340
1310b8a33
14984800
156bde93
hex4ebd60

5160288 has 72 divisors (see below), whose sum is σ = 15771672. Its totient is φ = 1473024.

The previous prime is 5160283. The next prime is 5160293. The reversal of 5160288 is 8820615.

5160288 is digitally balanced in base 4, 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 (5160283) and next prime (5160293).

It is a super-3 number, since 3×51602883 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5160283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4156 + ... + 5252.

It is an arithmetic number, because the mean of its divisors is an integer number (219051).

Almost surely, 25160288 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 5160288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7885836).

5160288 is an abundant number, since it is smaller than the sum of its proper divisors (10611384).

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

5160288 is a wasteful number, since it uses less digits than its factorization.

5160288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 5160288 is about 2271.6267299008. The cubic root of 5160288 is about 172.8056668238.

The spelling of 5160288 in words is "five million, one hundred sixty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1097 1176 1568 2194 2352 3291 4388 4704 6582 7679 8776 13164 15358 17552 23037 26328 30716 35104 46074 52656 53753 61432 92148 105312 107506 122864 161259 184296 215012 245728 322518 368592 430024 645036 737184 860048 1290072 1720096 2580144 5160288