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130417416 = 23321811353
BaseRepresentation
bin1111100011000…
…00001100001000
3100002101220001200
413301200030020
5231341324131
620535144200
73142346463
oct761401410
9302356050
10130417416
1167687598
1237815060
132103378c
141346c2da
15b6b22e6
hex7c60308

130417416 has 24 divisors (see below), whose sum is σ = 353214030. Its totient is φ = 43472448.

The previous prime is 130417411. The next prime is 130417453. The reversal of 130417416 is 614714031.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 95062500 + 35354916 = 9750^2 + 5946^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1304174162 = 34017404792234112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 130417416.

It is not an unprimeable number, because it can be changed into a prime (130417411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 905605 + ... + 905748.

Almost surely, 2130417416 is an apocalyptic number.

It is an amenable number.

130417416 is an abundant number, since it is smaller than the sum of its proper divisors (222796614).

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

130417416 is a wasteful number, since it uses less digits than its factorization.

130417416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811365 (or 1811358 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 130417416 is about 11420.0444832759. The cubic root of 130417416 is about 507.1213135935.

The spelling of 130417416 in words is "one hundred thirty million, four hundred seventeen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1811353 3622706 5434059 7245412 10868118 14490824 16302177 21736236 32604354 43472472 65208708 130417416