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5192160 = 253529373
BaseRepresentation
bin10011110011100111100000
3100202210022020
4103303213200
52312122120
6303141440
762063331
oct23634740
910683266
105192160
112a26a46
1218a4880
1310ca3ac
14992288
156c8640
hex4f39e0

5192160 has 96 divisors (see below), whose sum is σ = 16964640. Its totient is φ = 1333248.

The previous prime is 5192153. The next prime is 5192167. The reversal of 5192160 is 612915.

It is an interprime number because it is at equal distance from previous prime (5192153) and next prime (5192167).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 5192160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5192167) 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, 13734 + ... + 14106.

It is an arithmetic number, because the mean of its divisors is an integer number (176715).

Almost surely, 25192160 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 5192160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482320).

5192160 is an abundant number, since it is smaller than the sum of its proper divisors (11772480).

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

5192160 is a wasteful number, since it uses less digits than its factorization.

5192160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 5192160 is about 2278.6311680480. The cubic root of 5192160 is about 173.1607091385.

The spelling of 5192160 in words is "five million, one hundred ninety-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 373 435 464 480 580 696 746 870 928 1119 1160 1392 1492 1740 1865 2238 2320 2784 2984 3480 3730 4476 4640 5595 5968 6960 7460 8952 10817 11190 11936 13920 14920 17904 21634 22380 29840 32451 35808 43268 44760 54085 59680 64902 86536 89520 108170 129804 162255 173072 179040 216340 259608 324510 346144 432680 519216 649020 865360 1038432 1298040 1730720 2596080 5192160