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116391936 = 220337
BaseRepresentation
bin1101111000000…
…00000000000000
322010000022201110
412330000000000
5214244020221
615314403320
72612213043
oct674000000
9263008643
10116391936
115a777a91
1232b90540
131b16288b
141165ac5a
15a341776
hex6f00000

116391936 has 84 divisors (see below), whose sum is σ = 318766952. Its totient is φ = 37748736.

The previous prime is 116391917. The next prime is 116391941. The reversal of 116391936 is 639193611.

It is a junction number, because it is equal to n+sod(n) for n = 116391894 and 116391903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3145710 + ... + 3145746.

Almost surely, 2116391936 is an apocalyptic number.

116391936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

116391936 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116391936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159383476).

116391936 is an abundant number, since it is smaller than the sum of its proper divisors (202375016).

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

116391936 is an frugal number, since it uses more digits than its factorization.

116391936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 42 counting only the distinct ones).

The product of its digits is 26244, while the sum is 39.

The square root of 116391936 is about 10788.5094429212. The cubic root of 116391936 is about 488.2485520546.

The spelling of 116391936 in words is "one hundred sixteen million, three hundred ninety-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 444 512 592 768 888 1024 1184 1536 1776 2048 2368 3072 3552 4096 4736 6144 7104 8192 9472 12288 14208 16384 18944 24576 28416 32768 37888 49152 56832 65536 75776 98304 113664 131072 151552 196608 227328 262144 303104 393216 454656 524288 606208 786432 909312 1048576 1212416 1572864 1818624 2424832 3145728 3637248 4849664 7274496 9699328 14548992 19398656 29097984 38797312 58195968 116391936