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145540920 = 23357173263
BaseRepresentation
bin10001010110011…
…00011100111000
3101010212020121110
420223030130320
5244224302140
622235240320
73415035360
oct1053143470
9333766543
10145540920
1175177058
12408a90a0
13241ca3b5
14154879a0
15cb9d380
hex8acc738

145540920 has 64 divisors (see below), whose sum is σ = 499000320. Its totient is φ = 33266304.

The previous prime is 145540909. The next prime is 145540933. The reversal of 145540920 is 29045541.

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

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, 85792 + ... + 87471.

It is an arithmetic number, because the mean of its divisors is an integer number (7796880).

Almost surely, 2145540920 is an apocalyptic number.

145540920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145540920 is an abundant number, since it is smaller than the sum of its proper divisors (353459400).

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

145540920 is a wasteful number, since it uses less digits than its factorization.

145540920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173284 (or 173280 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 145540920 is about 12064.0341511453. The cubic root of 145540920 is about 526.0112572106.

The spelling of 145540920 in words is "one hundred forty-five million, five hundred forty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 173263 346526 519789 693052 866315 1039578 1212841 1386104 1732630 2079156 2425682 2598945 3465260 3638523 4158312 4851364 5197890 6064205 6930520 7277046 9702728 10395780 12128410 14554092 18192615 20791560 24256820 29108184 36385230 48513640 72770460 145540920