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116438504 = 23721373313
BaseRepresentation
bin1101111000010…
…11010111101000
322010002200121012
412330023113220
5214302013004
615315403052
72612465600
oct674132750
9263080535
10116438504
115a7a9a76
1232bb3488
131b17ab30
141166dc00
15a35046e
hex6f0b5e8

116438504 has 96 divisors (see below), whose sum is σ = 278134920. Its totient is φ = 45287424.

The previous prime is 116438473. The next prime is 116438507. The reversal of 116438504 is 405834611.

It can be written as a sum of positive squares in 4 ways, for example, as 44222500 + 72216004 = 6650^2 + 8498^2 .

It is not an unprimeable number, because it can be changed into a prime (116438507) 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, 371852 + ... + 372164.

Almost surely, 2116438504 is an apocalyptic number.

116438504 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 116438504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139067460).

116438504 is an abundant number, since it is smaller than the sum of its proper divisors (161696416).

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

116438504 is a wasteful number, since it uses less digits than its factorization.

116438504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 116438504 is about 10790.6674492359. The cubic root of 116438504 is about 488.3136588759.

The spelling of 116438504 in words is "one hundred sixteen million, four hundred thirty-eight thousand, five hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 73 91 98 104 146 182 196 292 313 364 392 511 584 626 637 728 949 1022 1252 1274 1898 2044 2191 2504 2548 3577 3796 4069 4088 4382 5096 6643 7154 7592 8138 8764 13286 14308 15337 16276 17528 22849 26572 28483 28616 30674 32552 45698 46501 53144 56966 61348 91396 93002 113932 122696 159943 182792 186004 199381 227864 297037 319886 372008 398762 594074 639772 797524 1119601 1188148 1279544 1595048 2079259 2239202 2376296 4158518 4478404 8317036 8956808 14554813 16634072 29109626 58219252 116438504