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102240960 = 2635106501
BaseRepresentation
bin1100001100000…
…01001011000000
321010101101020020
412012001023000
5202133202320
614051213440
72351014413
oct606011300
9233341206
10102240960
1152792168
122a2a7280
1318249813
14d815b7a
158e98940
hex61812c0

102240960 has 56 divisors (see below), whose sum is σ = 324618096. Its totient is φ = 27264000.

The previous prime is 102240959. The next prime is 102240973. The reversal of 102240960 is 69042201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102240960.

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, 52291 + ... + 54210.

Almost surely, 2102240960 is an apocalyptic number.

102240960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102240960 is an abundant number, since it is smaller than the sum of its proper divisors (222377136).

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

102240960 is a wasteful number, since it uses less digits than its factorization.

102240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106521 (or 106511 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 102240960 is about 10111.4271989665. The cubic root of 102240960 is about 467.6005064776.

The spelling of 102240960 in words is "one hundred two million, two hundred forty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 106501 213002 319503 426004 532505 639006 852008 1065010 1278012 1597515 1704016 2130020 2556024 3195030 3408032 4260040 5112048 6390060 6816064 8520080 10224096 12780120 17040160 20448192 25560240 34080320 51120480 102240960