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145128540 = 223510932213
BaseRepresentation
bin10001010011001…
…11110001011100
3101010002021221010
420221213301130
5244123103130
622222335220
73411400164
oct1051476134
9333067833
10145128540
1174a15247
124072a510
13240b479b
14153bb5a4
15cb1b0b0
hex8a67c5c

145128540 has 48 divisors (see below), whose sum is σ = 406915488. Its totient is φ = 38648064.

The previous prime is 145128539. The next prime is 145128547. The reversal of 145128540 is 45821541.

145128540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145128498 and 145128507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145128547) 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, 64474 + ... + 66686.

It is an arithmetic number, because the mean of its divisors is an integer number (8477406).

Almost surely, 2145128540 is an apocalyptic number.

145128540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145128540 is an abundant number, since it is smaller than the sum of its proper divisors (261786948).

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

145128540 is a wasteful number, since it uses less digits than its factorization.

145128540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3316 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 145128540 is about 12046.9307294431. The cubic root of 145128540 is about 525.5139819015.

The spelling of 145128540 in words is "one hundred forty-five million, one hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1093 2186 2213 3279 4372 4426 5465 6558 6639 8852 10930 11065 13116 13278 16395 21860 22130 26556 32790 33195 44260 65580 66390 132780 2418809 4837618 7256427 9675236 12094045 14512854 24188090 29025708 36282135 48376180 72564270 145128540