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5279160 = 2335293741
BaseRepresentation
bin10100001000110110111000
3100221012122110
4110020312320
52322413120
6305052320
762605065
oct24106670
910835573
105279160
112a86347
1219270a0
13112ab83
149b5c6c
156e42e0
hex508db8

5279160 has 128 divisors (see below), whose sum is σ = 17236800. Its totient is φ = 1290240.

The previous prime is 5279149. The next prime is 5279161. The reversal of 5279160 is 619725.

It is a super-3 number, since 3×52791603 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5279161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128740 + ... + 128780.

Almost surely, 25279160 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 5279160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8618400).

5279160 is an abundant number, since it is smaller than the sum of its proper divisors (11957640).

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

5279160 is a wasteful number, since it uses less digits than its factorization.

5279160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 5279160 is about 2297.6422698062. The cubic root of 5279160 is about 174.1225190741.

The spelling of 5279160 in words is "five million, two hundred seventy-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 37 40 41 58 60 74 82 87 111 116 120 123 145 148 164 174 185 205 222 232 246 290 296 328 348 370 410 435 444 492 555 580 615 696 740 820 870 888 984 1073 1110 1160 1189 1230 1480 1517 1640 1740 2146 2220 2378 2460 3034 3219 3480 3567 4292 4440 4551 4756 4920 5365 5945 6068 6438 7134 7585 8584 9102 9512 10730 11890 12136 12876 14268 15170 16095 17835 18204 21460 22755 23780 25752 28536 30340 32190 35670 36408 42920 43993 45510 47560 60680 64380 71340 87986 91020 128760 131979 142680 175972 182040 219965 263958 351944 439930 527916 659895 879860 1055832 1319790 1759720 2639580 5279160