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102096720 = 24335114297
BaseRepresentation
bin1100001010111…
…01111101010000
321010010001101000
412011131331100
5202114043340
614044142000
72346544035
oct605357520
9233101330
10102096720
11526a3860
122a237900
13181c8c7b
14d7b938c
158e6ad30
hex615df50

102096720 has 160 divisors (see below), whose sum is σ = 383725440. Its totient is φ = 24744960.

The previous prime is 102096719. The next prime is 102096739. The reversal of 102096720 is 27690201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 21612 + ... + 25908.

It is an arithmetic number, because the mean of its divisors is an integer number (2398284).

Almost surely, 2102096720 is an apocalyptic number.

102096720 is a gapful number since it is divisible by the number (10) 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 102096720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191862720).

102096720 is an abundant number, since it is smaller than the sum of its proper divisors (281628720).

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

102096720 is a wasteful number, since it uses less digits than its factorization.

102096720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4330 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 102096720 is about 10104.2921572963. The cubic root of 102096720 is about 467.3805084145.

The spelling of 102096720 in words is "one hundred two million, ninety-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4297 4752 5940 7920 8594 11880 12891 17188 21485 23760 25782 34376 38673 42970 47267 51564 64455 68752 77346 85940 94534 103128 116019 128910 141801 154692 171880 189068 193365 206256 232038 236335 257820 283602 309384 343760 378136 386730 425403 464076 472670 515640 567204 580095 618768 709005 756272 773460 850806 928152 945340 1031280 1134408 1160190 1276209 1418010 1546920 1701612 1856304 1890680 2127015 2268816 2320380 2552418 2836020 3093840 3403224 3781360 4254030 4640760 5104836 5672040 6381045 6806448 8508060 9281520 10209672 11344080 12762090 17016120 20419344 25524180 34032240 51048360 102096720