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99296640 = 2732517239
BaseRepresentation
bin1011110101100…
…10010110000000
320220211210101100
411322302112000
5200404443030
613504134400
72314002402
oct572622600
9226753340
1099296640
1151061043
1229307400
1317758611
14d28ab72
158ab6360
hex5eb2580

99296640 has 96 divisors (see below), whose sum is σ = 342903600. Its totient is φ = 26477568.

The previous prime is 99296633. The next prime is 99296647. The reversal of 99296640 is 4669299.

It is an interprime number because it is at equal distance from previous prime (99296633) and next prime (99296647).

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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99296647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2860 + ... + 14379.

Almost surely, 299296640 is an apocalyptic number.

99296640 is a gapful number since it is divisible by the number (90) 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 99296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171451800).

99296640 is an abundant number, since it is smaller than the sum of its proper divisors (243606960).

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

99296640 is a wasteful number, since it uses less digits than its factorization.

99296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17264 (or 17249 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 99296640 is about 9964.7699421512. The cubic root of 99296640 is about 463.0680859650.

The spelling of 99296640 in words is "ninety-nine million, two hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 17239 34478 51717 68956 86195 103434 137912 155151 172390 206868 258585 275824 310302 344780 413736 517170 551648 620604 689560 775755 827472 1034340 1103296 1241208 1379120 1551510 1654944 2068680 2206592 2482416 2758240 3103020 3309888 4137360 4964832 5516480 6206040 6619776 8274720 9929664 11032960 12412080 16549440 19859328 24824160 33098880 49648320 99296640