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102142540 = 22523233953
BaseRepresentation
bin1100001011010…
…01001001001100
321010012101020001
412011221021030
5202122030130
614045134044
72350124443
oct605511114
9233171201
10102142540
1152725225
122a25a324
1318213a96
14d7cbd5a
158e796ca
hex616924c

102142540 has 48 divisors (see below), whose sum is σ = 225021888. Its totient is φ = 38872064.

The previous prime is 102142531. The next prime is 102142543. The reversal of 102142540 is 45241201.

It is not an unprimeable number, because it can be changed into a prime (102142543) 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, 106704 + ... + 107656.

It is an arithmetic number, because the mean of its divisors is an integer number (4687956).

Almost surely, 2102142540 is an apocalyptic number.

102142540 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 102142540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112510944).

102142540 is an abundant number, since it is smaller than the sum of its proper divisors (122879348).

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

102142540 is a wasteful number, since it uses less digits than its factorization.

102142540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 102142540 is about 10106.5592562454. The cubic root of 102142540 is about 467.4504165435.

Adding to 102142540 its reverse (45241201), we get a palindrome (147383741).

The spelling of 102142540 in words is "one hundred two million, one hundred forty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 233 460 466 932 953 1165 1906 2330 3812 4660 4765 5359 9530 10718 19060 21436 21919 26795 43838 53590 87676 107180 109595 219190 222049 438380 444098 888196 1110245 2220490 4440980 5107127 10214254 20428508 25535635 51071270 102142540