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99907416 = 233271671187
BaseRepresentation
bin1011111010001…
…11011101011000
320221222211012200
411331013131120
5201034014131
613525210200
72322125160
oct575073530
9227884180
1099907416
1151438a14
1229560960
131791061b
14d3a95a0
158b872e6
hex5f47758

99907416 has 96 divisors (see below), whose sum is σ = 311351040. Its totient is φ = 28350144.

The previous prime is 99907403. The next prime is 99907417. The reversal of 99907416 is 61470999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99907417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83575 + ... + 84761.

It is an arithmetic number, because the mean of its divisors is an integer number (3243240).

Almost surely, 299907416 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 99907416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

99907416 is an abundant number, since it is smaller than the sum of its proper divisors (211443624).

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

99907416 is a wasteful number, since it uses less digits than its factorization.

99907416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 99907416 is about 9995.3697280291. The cubic root of 99907416 is about 464.0155935108.

The spelling of 99907416 in words is "ninety-nine million, nine hundred seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 167 168 252 334 501 504 668 1002 1169 1187 1336 1503 2004 2338 2374 3006 3507 3561 4008 4676 4748 6012 7014 7122 8309 9352 9496 10521 10683 12024 14028 14244 16618 21042 21366 24927 28056 28488 33236 42084 42732 49854 66472 74781 84168 85464 99708 149562 198229 199416 299124 396458 594687 598248 792916 1189374 1387603 1585832 1784061 2378748 2775206 3568122 4162809 4757496 5550412 7136244 8325618 11100824 12488427 14272488 16651236 24976854 33302472 49953708 99907416