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99351360 = 263453833
BaseRepresentation
bin1011110101111…
…11101101000000
320220221120110000
411322333231000
5200413220420
613505240000
72314321053
oct572775500
9226846400
1099351360
1151099169
1229333000
13177774b4
14d2a2a9a
158ac7690
hex5ebfb40

99351360 has 140 divisors (see below), whose sum is σ = 353502468. Its totient is φ = 26486784.

The previous prime is 99351353. The next prime is 99351367. The reversal of 99351360 is 6315399.

It is an interprime number because it is at equal distance from previous prime (99351353) and next prime (99351367).

It can be written as a sum of positive squares in 2 ways, for example, as 28387584 + 70963776 = 5328^2 + 8424^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99351367) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24004 + ... + 27836.

Almost surely, 299351360 is an apocalyptic number.

99351360 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 99351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176751234).

99351360 is an abundant number, since it is smaller than the sum of its proper divisors (254151108).

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

99351360 is a wasteful number, since it uses less digits than its factorization.

99351360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 99351360 is about 9967.5152370087. The cubic root of 99351360 is about 463.1531322549.

The spelling of 99351360 in words is "ninety-nine million, three hundred fifty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 3833 4320 5184 6480 7666 8640 11499 12960 15332 19165 22998 25920 30664 34497 38330 45996 57495 61328 68994 76660 91992 103491 114990 122656 137988 153320 172485 183984 206982 229980 245312 275976 306640 310473 344970 367968 413964 459960 517455 551952 613280 620946 689940 735936 827928 919920 1034910 1103904 1226560 1241892 1379880 1552365 1655856 1839840 2069820 2207808 2483784 2759760 3104730 3311712 3679680 4139640 4967568 5519520 6209460 6623424 8279280 9935136 11039040 12418920 16558560 19870272 24837840 33117120 49675680 99351360