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130575120 = 24351341851
BaseRepresentation
bin1111100100001…
…10101100010000
3100002200220101120
413302012230100
5231411400440
620542402240
73143604324
oct762065420
9302626346
10130575120
1167785025
1237890380
132108a4b0
14134ad984
15b6e3dd0
hex7c86b10

130575120 has 80 divisors (see below), whose sum is σ = 435930432. Its totient is φ = 32140800.

The previous prime is 130575103. The next prime is 130575127. The reversal of 130575120 is 21575031.

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

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

It is not an unprimeable number, because it can be changed into a prime (130575127) 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, 17806 + ... + 24045.

Almost surely, 2130575120 is an apocalyptic number.

130575120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130575120 is an abundant number, since it is smaller than the sum of its proper divisors (305355312).

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

130575120 is a wasteful number, since it uses less digits than its factorization.

130575120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41880 (or 41874 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 130575120 is about 11426.9470988537. The cubic root of 130575120 is about 507.3256391807.

The spelling of 130575120 in words is "one hundred thirty million, five hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 41851 83702 125553 167404 209255 251106 334808 418510 502212 544063 627765 669616 837020 1004424 1088126 1255530 1632189 1674040 2008848 2176252 2511060 2720315 3264378 3348080 4352504 5022120 5440630 6528756 8160945 8705008 10044240 10881260 13057512 16321890 21762520 26115024 32643780 43525040 65287560 130575120