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96729120 = 2533522391
BaseRepresentation
bin1011100001111…
…11100000100000
320202000100102000
411300333200200
5144230312440
613333124000
72253120045
oct560774040
9222010360
1096729120
114a668024
1228489600
1317069a87
14cbbd1cc
15875a730
hex5c3f820

96729120 has 96 divisors (see below), whose sum is σ = 338567040. Its totient is φ = 25793280.

The previous prime is 96729119. The next prime is 96729121. The reversal of 96729120 is 2192769.

It is an interprime number because it is at equal distance from previous prime (96729119) and next prime (96729121).

It is a tau number, because it is divible by the number of its divisors (96).

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 (96729121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6876 + ... + 15515.

It is an arithmetic number, because the mean of its divisors is an integer number (3526740).

Almost surely, 296729120 is an apocalyptic number.

96729120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96729120 is an abundant number, since it is smaller than the sum of its proper divisors (241837920).

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

96729120 is a wasteful number, since it uses less digits than its factorization.

96729120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22415 (or 22401 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 96729120 is about 9835.0963391316. The cubic root of 96729120 is about 459.0419885549.

The spelling of 96729120 in words is "ninety-six million, seven hundred twenty-nine thousand, one hundred twenty".

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 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 22391 44782 67173 89564 111955 134346 179128 201519 223910 268692 335865 358256 403038 447820 537384 604557 671730 716512 806076 895640 1007595 1074768 1209114 1343460 1612152 1791280 2015190 2149536 2418228 2686920 3022785 3224304 3582560 4030380 4836456 5373840 6045570 6448608 8060760 9672912 10747680 12091140 16121520 19345824 24182280 32243040 48364560 96729120