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99090432 = 219337
BaseRepresentation
bin1011110100000…
…00000000000000
320220110022112000
411322000000000
5200331343212
613455504000
72312153250
oct572000000
9226408460
1099090432
1150a30121
1229228000
13176b57bc
14d235960
158a751dc
hex5e80000

99090432 has 160 divisors (see below), whose sum is σ = 335544000. Its totient is φ = 28311552.

The previous prime is 99090427. The next prime is 99090437. The reversal of 99090432 is 23409099.

It is an interprime number because it is at equal distance from previous prime (99090427) and next prime (99090437).

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

It is not an unprimeable number, because it can be changed into a prime (99090437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14155773 + ... + 14155779.

It is an arithmetic number, because the mean of its divisors is an integer number (2097150).

Almost surely, 299090432 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 99090432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167772000).

99090432 is an abundant number, since it is smaller than the sum of its proper divisors (236453568).

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

99090432 is an frugal number, since it uses more digits than its factorization.

99090432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 99090432 is about 9954.4177127545. The cubic root of 99090432 is about 462.7473147216.

The spelling of 99090432 in words is "ninety-nine million, ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1024 1152 1344 1512 1536 1728 1792 2016 2048 2304 2688 3024 3072 3456 3584 4032 4096 4608 5376 6048 6144 6912 7168 8064 8192 9216 10752 12096 12288 13824 14336 16128 16384 18432 21504 24192 24576 27648 28672 32256 32768 36864 43008 48384 49152 55296 57344 64512 65536 73728 86016 96768 98304 110592 114688 129024 131072 147456 172032 193536 196608 221184 229376 258048 262144 294912 344064 387072 393216 442368 458752 516096 524288 589824 688128 774144 786432 884736 917504 1032192 1179648 1376256 1548288 1572864 1769472 1835008 2064384 2359296 2752512 3096576 3538944 3670016 4128768 4718592 5505024 6193152 7077888 8257536 11010048 12386304 14155776 16515072 24772608 33030144 49545216 99090432