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130436160 = 2635831637
BaseRepresentation
bin1111100011001…
…00110001000000
3100002102211202220
413301210301000
5231342424120
620535411040
73142455231
oct761446100
9302384686
10130436160
116769a688
1237823a80
132103c17a
1413475088
15b6b7b40
hex7c64c40

130436160 has 112 divisors (see below), whose sum is σ = 419380416. Its totient is φ = 34342912.

The previous prime is 130436107. The next prime is 130436179. The reversal of 130436160 is 61634031.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130436160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78862 + ... + 80498.

It is an arithmetic number, because the mean of its divisors is an integer number (3744468).

Almost surely, 2130436160 is an apocalyptic number.

130436160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209690208).

130436160 is an abundant number, since it is smaller than the sum of its proper divisors (288944256).

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

130436160 is a wasteful number, since it uses less digits than its factorization.

130436160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 130436160 is about 11420.8651160934. The cubic root of 130436160 is about 507.1456074515.

The spelling of 130436160 in words is "one hundred thirty million, four hundred thirty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 83 96 120 160 166 192 240 249 320 332 415 480 498 664 830 960 996 1245 1328 1637 1660 1992 2490 2656 3274 3320 3984 4911 4980 5312 6548 6640 7968 8185 9822 9960 13096 13280 15936 16370 19644 19920 24555 26192 26560 32740 39288 39840 49110 52384 65480 78576 79680 98220 104768 130960 135871 157152 196440 261920 271742 314304 392880 407613 523840 543484 679355 785760 815226 1086968 1358710 1571520 1630452 2038065 2173936 2717420 3260904 4076130 4347872 5434840 6521808 8152260 8695744 10869680 13043616 16304520 21739360 26087232 32609040 43478720 65218080 130436160