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130557440 = 295133923
BaseRepresentation
bin1111100100000…
…10011000000000
3100002200000010202
413302002120000
5231410314230
620542144332
73143501636
oct762023000
9302600122
10130557440
1167772812
12378820a8
1321082430
14134a7356
15b6dda45
hex7c82600

130557440 has 80 divisors (see below), whose sum is σ = 337197168. Its totient is φ = 48193536.

The previous prime is 130557439. The next prime is 130557451. The reversal of 130557440 is 44755031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31319 + ... + 35241.

Almost surely, 2130557440 is an apocalyptic number.

130557440 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 130557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168598584).

130557440 is an abundant number, since it is smaller than the sum of its proper divisors (206639728).

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

130557440 is an equidigital number, since it uses as much as digits as its factorization.

130557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 130557440 is about 11426.1734627127. The cubic root of 130557440 is about 507.3027406833.

The spelling of 130557440 in words is "one hundred thirty million, five hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1040 1280 1664 2080 2560 3328 3923 4160 6656 7846 8320 15692 16640 19615 31384 33280 39230 50999 62768 78460 101998 125536 156920 203996 251072 254995 313840 407992 502144 509990 627680 815984 1004288 1019980 1255360 1631968 2008576 2039960 2510720 3263936 4079920 5021440 6527872 8159840 10042880 13055744 16319680 26111488 32639360 65278720 130557440