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102006520 = 23571133119
BaseRepresentation
bin1100001010001…
…11111011111000
321002221110122021
412011013323320
5202103202040
614042204224
72346020050
oct605077370
9232843567
10102006520
1152642010
122a1b3674
1318196bb5
14d794560
158e4e24a
hex6147ef8

102006520 has 64 divisors (see below), whose sum is σ = 286156800. Its totient is φ = 31793280.

The previous prime is 102006493. The next prime is 102006539. The reversal of 102006520 is 25600201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102006494 and 102006503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13480 + ... + 19639.

It is an arithmetic number, because the mean of its divisors is an integer number (4471200).

Almost surely, 2102006520 is an apocalyptic number.

102006520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102006520 is an abundant number, since it is smaller than the sum of its proper divisors (184150280).

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

102006520 is a wasteful number, since it uses less digits than its factorization.

102006520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33148 (or 33144 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 102006520 is about 10099.8277213030. The cubic root of 102006520 is about 467.2428280428.

Adding to 102006520 its reverse (25600201), we get a palindrome (127606721).

The spelling of 102006520 in words is "one hundred two million, six thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 33119 66238 132476 165595 231833 264952 331190 364309 463666 662380 728618 927332 1159165 1324760 1457236 1821545 1854664 2318330 2550163 2914472 3643090 4636660 5100326 7286180 9273320 10200652 12750815 14572360 20401304 25501630 51003260 102006520