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102050560 = 285611307
BaseRepresentation
bin1100001010100…
…10101100000000
321010000201001101
412011102230000
5202111104220
614043144144
72346262333
oct605225400
9233021041
10102050560
1152672107
122a215054
13181b0c61
14d7a661a
158e5c30a
hex6152b00

102050560 has 72 divisors (see below), whose sum is σ = 248640336. Its totient is φ = 40120320.

The previous prime is 102050549. The next prime is 102050573. The reversal of 102050560 is 65050201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77427 + ... + 78733.

It is an arithmetic number, because the mean of its divisors is an integer number (3453338).

Almost surely, 2102050560 is an apocalyptic number.

102050560 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 102050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124320168).

102050560 is an abundant number, since it is smaller than the sum of its proper divisors (146589776).

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

102050560 is an equidigital number, since it uses as much as digits as its factorization.

102050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 102050560 is about 10102.0077212404. The cubic root of 102050560 is about 467.3100603907.

The spelling of 102050560 in words is "one hundred two million, fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 610 640 976 1220 1280 1307 1952 2440 2614 3904 4880 5228 6535 7808 9760 10456 13070 15616 19520 20912 26140 39040 41824 52280 78080 79727 83648 104560 159454 167296 209120 318908 334592 398635 418240 637816 797270 836480 1275632 1594540 1672960 2551264 3189080 5102528 6378160 10205056 12756320 20410112 25512640 51025280 102050560