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130417616 = 2472166349
BaseRepresentation
bin1111100011000…
…00001111010000
3100002101220100002
413301200033100
5231341330431
620535145132
73142350200
oct761401720
9302356302
10130417616
116768775a
12378151a8
13210338b4
141346c400
15b6b23cb
hex7c603d0

130417616 has 30 divisors (see below), whose sum is σ = 293940450. Its totient is φ = 55892928.

The previous prime is 130417603. The next prime is 130417619. The reversal of 130417616 is 616714031.

It can be written as a sum of positive squares in only one way, i.e., 104448400 + 25969216 = 10220^2 + 5096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130417619) 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, 82391 + ... + 83958.

It is an arithmetic number, because the mean of its divisors is an integer number (9798015).

Almost surely, 2130417616 is an apocalyptic number.

130417616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

130417616 is an abundant number, since it is smaller than the sum of its proper divisors (163522834).

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

130417616 is a wasteful number, since it uses less digits than its factorization.

130417616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166371 (or 166358 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 130417616 is about 11420.0532398058. The cubic root of 130417616 is about 507.1215728232.

The spelling of 130417616 in words is "one hundred thirty million, four hundred seventeen thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 166349 332698 665396 1164443 1330792 2328886 2661584 4657772 8151101 9315544 16302202 18631088 32604404 65208808 130417616