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102330880 = 29571563
BaseRepresentation
bin1100001100101…
…11001000000000
321010112221120121
412012113020000
5202144042010
614053150024
72351540521
oct606271000
9233487517
10102330880
1152843783
122a32b314
131827b722
14d83a848
158eb53da
hex6197200

102330880 has 80 divisors (see below), whose sum is σ = 249251904. Its totient is φ = 40284160.

The previous prime is 102330859. The next prime is 102330883. The reversal of 102330880 is 88033201.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (102330883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181479 + ... + 182041.

Almost surely, 2102330880 is an apocalyptic number.

102330880 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 102330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124625952).

102330880 is an abundant number, since it is smaller than the sum of its proper divisors (146921024).

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

102330880 is an frugal number, since it uses more digits than its factorization.

102330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 102330880 is about 10115.8726761461. The cubic root of 102330880 is about 467.7375497821.

The spelling of 102330880 in words is "one hundred two million, three hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 256 284 320 355 512 563 568 640 710 1126 1136 1280 1420 2252 2272 2560 2815 2840 4504 4544 5630 5680 9008 9088 11260 11360 18016 18176 22520 22720 36032 36352 39973 45040 45440 72064 79946 90080 90880 144128 159892 180160 181760 199865 288256 319784 360320 399730 639568 720640 799460 1279136 1441280 1598920 2558272 3197840 5116544 6395680 10233088 12791360 20466176 25582720 51165440 102330880