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116924416 = 21372039
BaseRepresentation
bin1101111100000…
…10000000000000
322011000101010221
412332002000000
5214413040131
615334032424
72616561340
oct676020000
9264011127
10116924416
1160001054
12331a8714
131b2bb05b
1411758d20
15a3e9411
hex6f82000

116924416 has 56 divisors (see below), whose sum is σ = 267370560. Its totient is φ = 50085888.

The previous prime is 116924407. The next prime is 116924441. The reversal of 116924416 is 614429611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

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, 56325 + ... + 58363.

Almost surely, 2116924416 is an apocalyptic number.

116924416 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 116924416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133685280).

116924416 is an abundant number, since it is smaller than the sum of its proper divisors (150446144).

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

116924416 is an frugal number, since it uses more digits than its factorization.

116924416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2048 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 116924416 is about 10813.1593902985. The cubic root of 116924416 is about 488.9919802187.

The spelling of 116924416 in words is "one hundred sixteen million, nine hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2039 2048 3584 4078 4096 7168 8156 8192 14273 14336 16312 28546 28672 32624 57092 57344 65248 114184 130496 228368 260992 456736 521984 913472 1043968 1826944 2087936 3653888 4175872 7307776 8351744 14615552 16703488 29231104 58462208 116924416