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116524416 = 2731915971
BaseRepresentation
bin1101111001000…
…00010110000000
322010021001110010
412330200112000
5214312240131
615321304520
72613304221
oct674402600
9263231403
10116524416
115a858578
1233035140
131b1aac78
1411693248
15a36ab46
hex6f20580

116524416 has 64 divisors (see below), whose sum is σ = 325828800. Its totient is φ = 36794880.

The previous prime is 116524411. The next prime is 116524423. The reversal of 116524416 is 614425611.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116524411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 690 + ... + 15281.

It is an arithmetic number, because the mean of its divisors is an integer number (5091075).

Almost surely, 2116524416 is an apocalyptic number.

116524416 is a gapful number since it is divisible by the number (16) 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 116524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162914400).

116524416 is an abundant number, since it is smaller than the sum of its proper divisors (209304384).

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

116524416 is a wasteful number, since it uses less digits than its factorization.

116524416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16007 (or 15995 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 116524416 is about 10794.6475625654. The cubic root of 116524416 is about 488.4337270894.

The spelling of 116524416 in words is "one hundred sixteen million, five hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 15971 31942 47913 63884 95826 127768 191652 255536 303449 383304 511072 606898 766608 910347 1022144 1213796 1533216 1820694 2044288 2427592 3066432 3641388 4855184 6132864 7282776 9710368 14565552 19420736 29131104 38841472 58262208 116524416