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130060416 = 273577587
BaseRepresentation
bin1111100000010…
…01000010000000
3100001201202100110
413300021002000
5231243413131
620523351320
73136331613
oct760110200
9301652313
10130060416
1167463352
1237682540
1320c3a135
14133b817a
15b641646
hex7c09080

130060416 has 64 divisors (see below), whose sum is σ = 346661280. Its totient is φ = 43204608.

The previous prime is 130060409. The next prime is 130060429. The reversal of 130060416 is 614060031.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 130060392 and 130060401.

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, 221275 + ... + 221861.

Almost surely, 2130060416 is an apocalyptic number.

130060416 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 130060416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173330640).

130060416 is an abundant number, since it is smaller than the sum of its proper divisors (216600864).

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

130060416 is an equidigital number, since it uses as much as digits as its factorization.

130060416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 130060416 is about 11404.4033601061. The cubic root of 130060416 is about 506.6581654468.

It can be divided in two parts, 1300 and 60416, that added together give a palindrome (61716).

The spelling of 130060416 in words is "one hundred thirty million, sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 577 587 1154 1174 1731 1761 2308 2348 3462 3522 4616 4696 6924 7044 9232 9392 13848 14088 18464 18784 27696 28176 36928 37568 55392 56352 73856 75136 110784 112704 221568 225408 338699 677398 1016097 1354796 2032194 2709592 4064388 5419184 8128776 10838368 16257552 21676736 32515104 43353472 65030208 130060416