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99439920 = 24335192423
BaseRepresentation
bin1011110110101…
…01010100110000
320221010001221000
411323111110300
5200424034140
613511202000
72315140206
oct573252460
9227101830
1099439920
1151149758
1229376300
13177a88b8
14d2c7076
158ae3a30
hex5ed5530

99439920 has 160 divisors (see below), whose sum is σ = 360691200. Its totient is φ = 25111296.

The previous prime is 99439903. The next prime is 99439933. The reversal of 99439920 is 2993499.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39829 + ... + 42251.

It is an arithmetic number, because the mean of its divisors is an integer number (2254320).

Almost surely, 299439920 is an apocalyptic number.

99439920 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 99439920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180345600).

99439920 is an abundant number, since it is smaller than the sum of its proper divisors (261251280).

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

99439920 is a wasteful number, since it uses less digits than its factorization.

99439920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2464 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 99439920 is about 9971.9566786063. The cubic root of 99439920 is about 463.2907068193.

The spelling of 99439920 in words is "ninety-nine million, four hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2423 2565 2736 3420 4104 4560 4846 5130 6840 7269 8208 9692 10260 12115 13680 14538 19384 20520 21807 24230 29076 36345 38768 41040 43614 46037 48460 58152 65421 72690 87228 92074 96920 109035 116304 130842 138111 145380 174456 184148 193840 218070 230185 261684 276222 290760 327105 348912 368296 414333 436140 460370 523368 552444 581520 654210 690555 736592 828666 872280 920740 1046736 1104888 1242999 1308420 1381110 1657332 1744560 1841480 2071665 2209776 2485998 2616840 2762220 3314664 3682960 4143330 4971996 5233680 5524440 6214995 6629328 8286660 9943992 11048880 12429990 16573320 19887984 24859980 33146640 49719960 99439920