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99153920 = 211523421
BaseRepresentation
bin1011110100011…
…11100000000000
320220120112121102
411322033200000
5200340411140
613501113532
72312536325
oct572174000
9226515542
1099153920
1150a73898
12292588a8
1317708678
14d250b4c
158a88e15
hex5e8f800

99153920 has 96 divisors (see below), whose sum is σ = 248844960. Its totient is φ = 37847040.

The previous prime is 99153883. The next prime is 99153947. The reversal of 99153920 is 2935199.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 235310 + ... + 235730.

It is an arithmetic number, because the mean of its divisors is an integer number (2592135).

Almost surely, 299153920 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 99153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124422480).

99153920 is an abundant number, since it is smaller than the sum of its proper divisors (149691040).

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

99153920 is a wasteful number, since it uses less digits than its factorization.

99153920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 38.

The square root of 99153920 is about 9957.6061380233. The cubic root of 99153920 is about 462.8461222073.

The spelling of 99153920 in words is "ninety-nine million, one hundred fifty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 421 460 512 640 736 842 920 1024 1280 1472 1684 1840 2048 2105 2560 2944 3368 3680 4210 5120 5888 6736 7360 8420 9683 10240 11776 13472 14720 16840 19366 23552 26944 29440 33680 38732 47104 48415 53888 58880 67360 77464 96830 107776 117760 134720 154928 193660 215552 235520 269440 309856 387320 431104 538880 619712 774640 862208 1077760 1239424 1549280 2155520 2478848 3098560 4311040 4957696 6197120 9915392 12394240 19830784 24788480 49576960 99153920