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102922120 = 23572771327
BaseRepresentation
bin1100010001001…
…11011110001000
321011122222121101
412020213132020
5202322001440
614113551144
72356552330
oct610473610
9234588541
10102922120
1153107a04
122a5754b4
1318427882
14d9520c0
15908069a
hex6227788

102922120 has 64 divisors (see below), whose sum is σ = 265812480. Its totient is φ = 35133696.

The previous prime is 102922103. The next prime is 102922121. The reversal of 102922120 is 21229201.

It is not an unprimeable number, because it can be changed into a prime (102922121) 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, 76897 + ... + 78223.

It is an arithmetic number, because the mean of its divisors is an integer number (4153320).

Almost surely, 2102922120 is an apocalyptic number.

102922120 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 102922120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132906240).

102922120 is an abundant number, since it is smaller than the sum of its proper divisors (162890360).

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

102922120 is a wasteful number, since it uses less digits than its factorization.

102922120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 102922120 is about 10145.0539673281. The cubic root of 102922120 is about 468.6366405585.

The spelling of 102922120 in words is "one hundred two million, nine hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 277 280 554 1108 1327 1385 1939 2216 2654 2770 3878 5308 5540 6635 7756 9289 9695 10616 11080 13270 15512 18578 19390 26540 37156 38780 46445 53080 74312 77560 92890 185780 367579 371560 735158 1470316 1837895 2573053 2940632 3675790 5146106 7351580 10292212 12865265 14703160 20584424 25730530 51461060 102922120