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145104540 = 22357345487
BaseRepresentation
bin10001010011000…
…01111010011100
3101010001002000020
420221201322130
5244121321130
622222032140
73411240210
oct1051417234
9333032006
10145104540
11749a9209
1240718650
13240a6899
14153b2940
15cb13e10
hex8a61e9c

145104540 has 48 divisors (see below), whose sum is σ = 464335872. Its totient is φ = 33166656.

The previous prime is 145104523. The next prime is 145104559. The reversal of 145104540 is 45401541.

It is a happy number.

It is a super-2 number, since 2×1451045402 = 42110655057223200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145104540.

It is a congruent 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, 172324 + ... + 173163.

It is an arithmetic number, because the mean of its divisors is an integer number (9673664).

Almost surely, 2145104540 is an apocalyptic number.

145104540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145104540 is an abundant number, since it is smaller than the sum of its proper divisors (319231332).

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

145104540 is a wasteful number, since it uses less digits than its factorization.

145104540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345506 (or 345504 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 145104540 is about 12045.9345839167. The cubic root of 145104540 is about 525.4850121095.

The spelling of 145104540 in words is "one hundred forty-five million, one hundred four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 345487 690974 1036461 1381948 1727435 2072922 2418409 3454870 4145844 4836818 5182305 6909740 7255227 9673636 10364610 12092045 14510454 20729220 24184090 29020908 36276135 48368180 72552270 145104540