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102538060 = 225191511787
BaseRepresentation
bin1100001110010…
…01101101001100
321010221110202221
412013021231030
5202222204220
614101425124
72353362532
oct607115514
9233843687
10102538060
11529753a9
122a40b1a4
1318321b11
14d892152
1590069aa
hex61c9b4c

102538060 has 48 divisors (see below), whose sum is σ = 228291840. Its totient is φ = 38577600.

The previous prime is 102538027. The next prime is 102538081. The reversal of 102538060 is 60835201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56487 + ... + 58273.

It is an arithmetic number, because the mean of its divisors is an integer number (4756080).

Almost surely, 2102538060 is an apocalyptic number.

102538060 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 102538060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114145920).

102538060 is an abundant number, since it is smaller than the sum of its proper divisors (125753780).

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

102538060 is a wasteful number, since it uses less digits than its factorization.

102538060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 102538060 is about 10126.1078406266. The cubic root of 102538060 is about 468.0529988436.

The spelling of 102538060 in words is "one hundred two million, five hundred thirty-eight thousand, sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 151 190 302 380 604 755 1510 1787 2869 3020 3574 5738 7148 8935 11476 14345 17870 28690 33953 35740 57380 67906 135812 169765 269837 339530 539674 679060 1079348 1349185 2698370 5126903 5396740 10253806 20507612 25634515 51269030 102538060