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114072576 = 210371523
BaseRepresentation
bin1101100110010…
…01110000000000
321221122111011020
412303021300000
5213200310301
615152545440
72553413052
oct663116000
9257574136
10114072576
1159433462
1232252280
131a82cc87
14112158d2
15a034436
hex6cc9c00

114072576 has 88 divisors (see below), whose sum is σ = 308916864. Its totient is φ = 37416960.

The previous prime is 114072527. The next prime is 114072641. The reversal of 114072576 is 675270411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217851 + ... + 218373.

Almost surely, 2114072576 is an apocalyptic number.

114072576 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 114072576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154458432).

114072576 is an abundant number, since it is smaller than the sum of its proper divisors (194844288).

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

114072576 is an equidigital number, since it uses as much as digits as its factorization.

114072576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 114072576 is about 10680.4763938693. The cubic root of 114072576 is about 484.9836335569.

The spelling of 114072576 in words is "one hundred fourteen million, seventy-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 523 568 768 852 1024 1046 1136 1536 1569 1704 2092 2272 3072 3138 3408 4184 4544 6276 6816 8368 9088 12552 13632 16736 18176 25104 27264 33472 36352 37133 50208 54528 66944 72704 74266 100416 109056 111399 133888 148532 200832 218112 222798 267776 297064 401664 445596 535552 594128 803328 891192 1188256 1606656 1782384 2376512 3564768 4753024 7129536 9506048 14259072 19012096 28518144 38024192 57036288 114072576