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116093124 = 223273712451
BaseRepresentation
bin1101110101101…
…11000011000100
322002110010211100
412322313003010
5214204434444
615304140100
72606526630
oct672670304
9262403740
10116093124
115a593534
1232a67630
131b089874
14115bddc0
15a2d2e69
hex6eb70c4

116093124 has 72 divisors (see below), whose sum is σ = 344472128. Its totient is φ = 32270400.

The previous prime is 116093123. The next prime is 116093129. The reversal of 116093124 is 421390611.

116093124 is a `hidden beast` number, since 1 + 1 + 609 + 31 + 24 = 666.

It is a super-2 number, since 2×1160931242 = 26955226880158752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116093123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3099 + ... + 15549.

Almost surely, 2116093124 is an apocalyptic number.

116093124 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 116093124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172236064).

116093124 is an abundant number, since it is smaller than the sum of its proper divisors (228379004).

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

116093124 is a wasteful number, since it uses less digits than its factorization.

116093124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12505 (or 12500 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 116093124 is about 10774.6519201318. The cubic root of 116093124 is about 487.8303685705.

The spelling of 116093124 in words is "one hundred sixteen million, ninety-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 9324 12451 24902 37353 49804 74706 87157 112059 149412 174314 224118 261471 348628 448236 460687 522942 784413 921374 1045884 1382061 1568826 1842748 2764122 3137652 3224809 4146183 5528244 6449618 8292366 9674427 12899236 16584732 19348854 29023281 38697708 58046562 116093124