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102034520 = 23573071187
BaseRepresentation
bin1100001010011…
…10110001011000
321002222220001022
412011032301120
5202110101040
614042542012
72346164510
oct605166130
9232886038
10102034520
1152661055
122a207908
13181a6873
14d7a0840
158e576b5
hex614ec58

102034520 has 64 divisors (see below), whose sum is σ = 263450880. Its totient is φ = 34839936.

The previous prime is 102034519. The next prime is 102034529. The reversal of 102034520 is 25430201.

It is a super-2 number, since 2×1020345202 = 20822086543260800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102034529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85367 + ... + 86553.

It is an arithmetic number, because the mean of its divisors is an integer number (4116420).

Almost surely, 2102034520 is an apocalyptic number.

102034520 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 102034520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725440).

102034520 is an abundant number, since it is smaller than the sum of its proper divisors (161416360).

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

102034520 is a wasteful number, since it uses less digits than its factorization.

102034520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 102034520 is about 10101.2137884514. The cubic root of 102034520 is about 467.2855756447.

Adding to 102034520 its reverse (25430201), we get a palindrome (127464721).

The spelling of 102034520 in words is "one hundred two million, thirty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 307 614 1187 1228 1535 2149 2374 2456 3070 4298 4748 5935 6140 8309 8596 9496 10745 11870 12280 16618 17192 21490 23740 33236 41545 42980 47480 66472 83090 85960 166180 332360 364409 728818 1457636 1822045 2550863 2915272 3644090 5101726 7288180 10203452 12754315 14576360 20406904 25508630 51017260 102034520