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116166460 = 22529533779
BaseRepresentation
bin1101110110010…
…00111100111100
322002120212102111
412323020330330
5214214311320
615305503404
72610253504
oct673107474
9262525374
10116166460
115a633643
1232aa1b64
131b0b4067
14115dca04
15a2e9a5a
hex6ec8f3c

116166460 has 48 divisors (see below), whose sum is σ = 257191200. Its totient is φ = 44006144.

The previous prime is 116166451. The next prime is 116166461. The reversal of 116166460 is 64661611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116166461) 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, 28851 + ... + 32629.

It is an arithmetic number, because the mean of its divisors is an integer number (5358150).

Almost surely, 2116166460 is an apocalyptic number.

116166460 is a gapful number since it is divisible by the number (10) 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 116166460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128595600).

116166460 is an abundant number, since it is smaller than the sum of its proper divisors (141024740).

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

116166460 is a wasteful number, since it uses less digits than its factorization.

116166460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 116166460 is about 10778.0545554381. The cubic root of 116166460 is about 487.9330677261.

The spelling of 116166460 in words is "one hundred sixteen million, one hundred sixty-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 29 53 58 106 116 145 212 265 290 530 580 1060 1537 3074 3779 6148 7558 7685 15116 15370 18895 30740 37790 75580 109591 200287 219182 400574 438364 547955 801148 1001435 1095910 2002870 2191820 4005740 5808323 11616646 23233292 29041615 58083230 116166460