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116769492 = 22337257601
BaseRepresentation
bin1101111010111…
…00001011010100
322010201111122000
412331130023110
5214343110432
615330435300
72615344560
oct675341324
9263644560
10116769492
115aa05714
1233132b30
131b265698
14117186a0
15a3b857c
hex6f5c2d4

116769492 has 96 divisors (see below), whose sum is σ = 347907840. Its totient is φ = 33177600.

The previous prime is 116769461. The next prime is 116769539. The reversal of 116769492 is 294967611.

It is a super-2 number, since 2×1167694922 = 27270228523876128, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193992 + ... + 194592.

It is an arithmetic number, because the mean of its divisors is an integer number (3624040).

Almost surely, 2116769492 is an apocalyptic number.

116769492 is a gapful number since it is divisible by the number (12) 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 116769492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173953920).

116769492 is an abundant number, since it is smaller than the sum of its proper divisors (231138348).

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

116769492 is a wasteful number, since it uses less digits than its factorization.

116769492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 870 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 116769492 is about 10805.9933370329. The cubic root of 116769492 is about 488.7759144908.

The spelling of 116769492 in words is "one hundred sixteen million, seven hundred sixty-nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 257 378 514 601 756 771 1028 1202 1542 1799 1803 2313 2404 3084 3598 3606 4207 4626 5397 5409 6939 7196 7212 8414 9252 10794 10818 12621 13878 16191 16227 16828 21588 21636 25242 27756 32382 32454 37863 48573 50484 64764 64908 75726 97146 113589 151452 154457 194292 227178 308914 454356 463371 617828 926742 1081199 1390113 1853484 2162398 2780226 3243597 4170339 4324796 5560452 6487194 8340678 9730791 12974388 16681356 19461582 29192373 38923164 58384746 116769492