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130201792 = 2671631783
BaseRepresentation
bin1111100001010…
…11100011000000
3100001222221021121
413300223203000
5231312424132
620530402024
73140461030
oct760534300
9301887247
10130201792
116754a596
1237730314
1320c895a6
14134138c0
15b66d497
hex7c2b8c0

130201792 has 56 divisors (see below), whose sum is σ = 297257216. Its totient is φ = 55427328.

The previous prime is 130201789. The next prime is 130201823. The reversal of 130201792 is 297102031.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1302017922 = 33905013280022528, which contains 22 as substring.

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, 72133 + ... + 73915.

Almost surely, 2130201792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130201792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148628608).

130201792 is an abundant number, since it is smaller than the sum of its proper divisors (167055424).

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

130201792 is a wasteful number, since it uses less digits than its factorization.

130201792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 130201792 is about 11410.5999842252. The cubic root of 130201792 is about 506.8416785374.

The spelling of 130201792 in words is "one hundred thirty million, two hundred one thousand, seven hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 163 224 326 448 652 1141 1304 1783 2282 2608 3566 4564 5216 7132 9128 10432 12481 14264 18256 24962 28528 36512 49924 57056 73024 99848 114112 199696 290629 399392 581258 798784 1162516 2034403 2325032 4068806 4650064 8137612 9300128 16275224 18600256 32550448 65100896 130201792