Search a number
-
+
102792880 = 2451775583
BaseRepresentation
bin1100010000001…
…11111010110000
321011102102022201
412020013322300
5202303333010
614111112544
72355503461
oct610077260
9234372281
10102792880
11530298a3
122a512754
13183b0ab8
14d91ad68
15905723a
hex6207eb0

102792880 has 40 divisors (see below), whose sum is σ = 253055232. Its totient is φ = 38697984.

The previous prime is 102792847. The next prime is 102792887. The reversal of 102792880 is 88297201.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (102792887) 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, 36432 + ... + 39151.

Almost surely, 2102792880 is an apocalyptic number.

102792880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102792880 is an abundant number, since it is smaller than the sum of its proper divisors (150262352).

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

102792880 is a wasteful number, since it uses less digits than its factorization.

102792880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75613 (or 75607 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 102792880 is about 10138.6823601492. The cubic root of 102792880 is about 468.4404016663.

The spelling of 102792880 in words is "one hundred two million, seven hundred ninety-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 75583 151166 302332 377915 604664 755830 1209328 1284911 1511660 2569822 3023320 5139644 6046640 6424555 10279288 12849110 20558576 25698220 51396440 102792880