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102031540 = 225133112659
BaseRepresentation
bin1100001010011…
…10000010110100
321002222201221221
412011032002310
5202110002130
614042520124
72346153022
oct605160264
9232881857
10102031540
1152659896
122a206044
13181a53c0
14d79d712
158e5687a
hex614e0b4

102031540 has 48 divisors (see below), whose sum is σ = 238210560. Its totient is φ = 36455040.

The previous prime is 102031507. The next prime is 102031543. The reversal of 102031540 is 45130201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102031543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1731 + ... + 14389.

It is an arithmetic number, because the mean of its divisors is an integer number (4962720).

Almost surely, 2102031540 is an apocalyptic number.

102031540 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 102031540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119105280).

102031540 is an abundant number, since it is smaller than the sum of its proper divisors (136179020).

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

102031540 is a wasteful number, since it uses less digits than its factorization.

102031540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12712 (or 12710 counting only the distinct ones).

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

The square root of 102031540 is about 10101.0662803488. The cubic root of 102031540 is about 467.2810264504.

Adding to 102031540 its reverse (45130201), we get a palindrome (147161741).

The spelling of 102031540 in words is "one hundred two million, thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 1612 2015 4030 8060 12659 25318 50636 63295 126590 164567 253180 329134 392429 658268 784858 822835 1569716 1645670 1962145 3291340 3924290 5101577 7848580 10203154 20406308 25507885 51015770 102031540