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116421564 = 223710712953
BaseRepresentation
bin1101111000001…
…11001110111100
322010001211100210
412330013032330
5214300442224
615315152420
72612365320
oct674071674
9263054323
10116421564
115a798276
1232ba5710
131b1731cc
1411667980
15a34a429
hex6f073bc

116421564 has 48 divisors (see below), whose sum is σ = 313383168. Its totient is φ = 32949888.

The previous prime is 116421563. The next prime is 116421587. The reversal of 116421564 is 465124611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116421563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2512 + ... + 15464.

It is an arithmetic number, because the mean of its divisors is an integer number (6528816).

Almost surely, 2116421564 is an apocalyptic number.

116421564 is a gapful number since it is divisible by the number (14) 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 116421564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156691584).

116421564 is an abundant number, since it is smaller than the sum of its proper divisors (196961604).

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

116421564 is a wasteful number, since it uses less digits than its factorization.

116421564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13074 (or 13072 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 116421564 is about 10789.8824831413. The cubic root of 116421564 is about 488.2899770345.

The spelling of 116421564 in words is "one hundred sixteen million, four hundred twenty-one thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 107 214 321 428 642 749 1284 1498 2247 2996 4494 8988 12953 25906 38859 51812 77718 90671 155436 181342 272013 362684 544026 1088052 1385971 2771942 4157913 5543884 8315826 9701797 16631652 19403594 29105391 38807188 58210782 116421564