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99870720 = 211353251
BaseRepresentation
bin1011111001111…
…10100000000000
320221220221212120
411330332200000
5201031330340
613524324240
72321613165
oct574764000
9227827776
1099870720
1151413394
1229543680
13178c9a01
14d39a06c
158b7b4d0
hex5f3e800

99870720 has 96 divisors (see below), whose sum is σ = 319606560. Its totient is φ = 26624000.

The previous prime is 99870703. The next prime is 99870739. The reversal of 99870720 is 2707899.

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

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, 29095 + ... + 32345.

It is an arithmetic number, because the mean of its divisors is an integer number (3329235).

Almost surely, 299870720 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 99870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159803280).

99870720 is an abundant number, since it is smaller than the sum of its proper divisors (219735840).

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

99870720 is a wasteful number, since it uses less digits than its factorization.

99870720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 99870720 is about 9993.5339094837. The cubic root of 99870720 is about 463.9587755686.

The spelling of 99870720 in words is "ninety-nine million, eight hundred seventy thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3251 3840 5120 6144 6502 7680 9753 10240 13004 15360 16255 19506 26008 30720 32510 39012 48765 52016 65020 78024 97530 104032 130040 156048 195060 208064 260080 312096 390120 416128 520160 624192 780240 832256 1040320 1248384 1560480 1664512 2080640 2496768 3120960 3329024 4161280 4993536 6241920 6658048 8322560 9987072 12483840 16645120 19974144 24967680 33290240 49935360 99870720