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145102540 = 225111574201
BaseRepresentation
bin10001010011000…
…01011011001100
3101010000222021011
420221201123030
5244121240130
622222015004
73411231322
oct1051413314
9333028234
10145102540
11749a7760
1240717464
13240a59bb
14153b1d12
15cb1352a
hex8a616cc

145102540 has 48 divisors (see below), whose sum is σ = 334613664. Its totient is φ = 52416000.

The previous prime is 145102523. The next prime is 145102541. The reversal of 145102540 is 45201541.

It is a super-2 number, since 2×1451025402 = 42109494228903200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (145102541) 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, 32440 + ... + 36640.

It is an arithmetic number, because the mean of its divisors is an integer number (6971118).

Almost surely, 2145102540 is an apocalyptic number.

145102540 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 145102540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167306832).

145102540 is an abundant number, since it is smaller than the sum of its proper divisors (189511124).

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

145102540 is a wasteful number, since it uses less digits than its factorization.

145102540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4378 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 145102540 is about 12045.8515680711. The cubic root of 145102540 is about 525.4825978160.

Subtracting from 145102540 its reverse (45201541), we obtain a palindrome (99900999).

The spelling of 145102540 in words is "one hundred forty-five million, one hundred two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 314 628 785 1570 1727 3140 3454 4201 6908 8402 8635 16804 17270 21005 34540 42010 46211 84020 92422 184844 231055 462110 659557 924220 1319114 2638228 3297785 6595570 7255127 13191140 14510254 29020508 36275635 72551270 145102540