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130122896 = 24174011193
BaseRepresentation
bin1111100000110…
…00010010010000
3100001211221001112
413300120102100
5231302413041
620524552452
73140012021
oct760302220
9301757045
10130122896
11674a6292
12376b2728
1320c5c6c7
14133d2c48
15b654deb
hex7c18490

130122896 has 40 divisors (see below), whose sum is σ = 267833304. Its totient is φ = 61030400.

The previous prime is 130122877. The next prime is 130122917. The reversal of 130122896 is 698221031.

It can be written as a sum of positive squares in 4 ways, for example, as 78570496 + 51552400 = 8864^2 + 7180^2 .

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, 108476 + ... + 109668.

Almost surely, 2130122896 is an apocalyptic number.

130122896 is a gapful number since it is divisible by the number (16) 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 130122896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133916652).

130122896 is an abundant number, since it is smaller than the sum of its proper divisors (137710408).

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

130122896 is a wasteful number, since it uses less digits than its factorization.

130122896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 130122896 is about 11407.1423240003. The cubic root of 130122896 is about 506.7392839900.

The spelling of 130122896 in words is "one hundred thirty million, one hundred twenty-two thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 401 802 1193 1604 2386 3208 4772 6416 6817 9544 13634 19088 20281 27268 40562 54536 81124 109072 162248 324496 478393 956786 1913572 3827144 7654288 8132681 16265362 32530724 65061448 130122896