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116467264 = 26192712
BaseRepresentation
bin1101111000100…
…10011001000000
322010011011001101
412330102121000
5214303423024
615320144144
72612645464
oct674223100
9263134041
10116467264
115a819641
1233008054
131b18ac54
141167a4a4
15a358c44
hex6f12640

116467264 has 63 divisors (see below), whose sum is σ = 247402731. Its totient is φ = 54391680.

The previous prime is 116467223. The next prime is 116467313. The reversal of 116467264 is 462764611.

The square root of 116467264 is 10792.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (48384) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1640349 + ... + 1640419.

Almost surely, 2116467264 is an apocalyptic number.

116467264 is the 10792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116467264

116467264 is an abundant number, since it is smaller than the sum of its proper divisors (130935467).

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

116467264 is an frugal number, since it uses more digits than its factorization.

116467264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 92 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The cubic root of 116467264 is about 488.3538596235.

The spelling of 116467264 in words is "one hundred sixteen million, four hundred sixty-seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 71 76 142 152 284 304 361 568 608 722 1136 1216 1349 1444 2272 2698 2888 4544 5041 5396 5776 10082 10792 11552 20164 21584 23104 25631 40328 43168 51262 80656 86336 95779 102524 161312 191558 205048 322624 383116 410096 766232 820192 1532464 1640384 1819801 3064928 3639602 6129856 7279204 14558408 29116816 58233632 116467264