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99914112 = 2732432017
BaseRepresentation
bin1011111010010…
…01000110000000
320222000011101200
411331021012000
5201034222422
613525301200
72322153534
oct575110600
9228004350
1099914112
1151442a51
1229564800
131791369c
14d3abbc4
158b892ac
hex5f49180

99914112 has 96 divisors (see below), whose sum is σ = 294345480. Its totient is φ = 32514048.

The previous prime is 99914051. The next prime is 99914123. The reversal of 99914112 is 21141999.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48528 + ... + 50544.

Almost surely, 299914112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99914112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147172740).

99914112 is an abundant number, since it is smaller than the sum of its proper divisors (194431368).

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

99914112 is a wasteful number, since it uses less digits than its factorization.

99914112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2065 counting only the distinct ones).

The product of its digits is 5832, while the sum is 36.

The square root of 99914112 is about 9995.7046775102. The cubic root of 99914112 is about 464.0259597049.

The spelling of 99914112 in words is "ninety-nine million, nine hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 1032 1152 1376 1548 2017 2064 2752 3096 4034 4128 5504 6051 6192 8068 8256 12102 12384 16136 16512 18153 24204 24768 32272 36306 48408 49536 64544 72612 86731 96816 129088 145224 173462 193632 258176 260193 290448 346924 387264 520386 580896 693848 774528 780579 1040772 1161792 1387696 1561158 2081544 2323584 2775392 3122316 4163088 5550784 6244632 8326176 11101568 12489264 16652352 24978528 33304704 49957056 99914112