Search a number
-
+
5157960 = 233553811
BaseRepresentation
bin10011101011010001001000
3100201001101120
4103223101020
52310023320
6302315240
761561533
oct23532110
910631346
105157960
112a03285
121888b20
1310b7962
14983a1a
156bd440
hex4eb448

5157960 has 64 divisors (see below), whose sum is σ = 15785280. Its totient is φ = 1347840.

The previous prime is 5157947. The next prime is 5157967. The reversal of 5157960 is 697515.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5157967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5955 + ... + 6765.

It is an arithmetic number, because the mean of its divisors is an integer number (246645).

Almost surely, 25157960 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 5157960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7892640).

5157960 is an abundant number, since it is smaller than the sum of its proper divisors (10627320).

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

5157960 is a wasteful number, since it uses less digits than its factorization.

5157960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 5157960 is about 2271.1142639682. The cubic root of 5157960 is about 172.7796765364.

The spelling of 5157960 in words is "five million, one hundred fifty-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 811 1060 1272 1590 1622 2120 2433 3180 3244 4055 4866 6360 6488 8110 9732 12165 16220 19464 24330 32440 42983 48660 85966 97320 128949 171932 214915 257898 343864 429830 515796 644745 859660 1031592 1289490 1719320 2578980 5157960