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99409920 = 21335809
BaseRepresentation
bin1011110110011…
…10000000000000
320221001112202220
411323032000000
5200422104140
613510411040
72314653561
oct573160000
9227045686
1099409920
1151129165
1229360a80
131779804c
14d2ba168
158ad9bd0
hex5ece000

99409920 has 112 divisors (see below), whose sum is σ = 318485520. Its totient is φ = 26476544.

The previous prime is 99409909. The next prime is 99409949. The reversal of 99409920 is 2990499.

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, 122476 + ... + 123284.

Almost surely, 299409920 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 99409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159242760).

99409920 is an abundant number, since it is smaller than the sum of its proper divisors (219075600).

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

99409920 is an equidigital number, since it uses as much as digits as its factorization.

99409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 99409920 is about 9970.4523468095. The cubic root of 99409920 is about 463.2441121212.

The spelling of 99409920 in words is "ninety-nine million, four hundred nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 809 960 1024 1280 1536 1618 1920 2048 2427 2560 3072 3236 3840 4045 4096 4854 5120 6144 6472 7680 8090 8192 9708 10240 12135 12288 12944 15360 16180 19416 20480 24270 24576 25888 30720 32360 38832 40960 48540 51776 61440 64720 77664 97080 103552 122880 129440 155328 194160 207104 258880 310656 388320 414208 517760 621312 776640 828416 1035520 1242624 1553280 1656832 2071040 2485248 3106560 3313664 4142080 4970496 6213120 6627328 8284160 9940992 12426240 16568320 19881984 24852480 33136640 49704960 99409920