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102480560 = 24572132011
BaseRepresentation
bin1100001101110…
…11101010110000
321010211112220022
412012323222300
5202213334220
614100303012
72353033100
oct606735260
9233745808
10102480560
1152936186
122a3a1a68
13183018b0
14d879200
158ee4925
hex61bbab0

102480560 has 120 divisors (see below), whose sum is σ = 298637136. Its totient is φ = 32417280.

The previous prime is 102480557. The next prime is 102480569. The reversal of 102480560 is 65084201.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102480569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49955 + ... + 51965.

Almost surely, 2102480560 is an apocalyptic number.

102480560 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 102480560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149318568).

102480560 is an abundant number, since it is smaller than the sum of its proper divisors (196156576).

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

102480560 is a wasteful number, since it uses less digits than its factorization.

102480560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 102480560 is about 10123.2682469645. The cubic root of 102480560 is about 467.9654928657.

The spelling of 102480560 in words is "one hundred two million, four hundred eighty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 49 52 56 65 70 80 91 98 104 112 130 140 182 196 208 245 260 280 364 392 455 490 520 560 637 728 784 910 980 1040 1274 1456 1820 1960 2011 2548 3185 3640 3920 4022 5096 6370 7280 8044 10055 10192 12740 14077 16088 20110 25480 26143 28154 32176 40220 50960 52286 56308 70385 80440 98539 104572 112616 130715 140770 160880 183001 197078 209144 225232 261430 281540 366002 394156 418288 492695 522860 563080 732004 788312 915005 985390 1045720 1126160 1281007 1464008 1576624 1830010 1970780 2091440 2562014 2928016 3660020 3941560 5124028 6405035 7320040 7883120 10248056 12810070 14640080 20496112 25620140 51240280 102480560