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145264560 = 2435786467
BaseRepresentation
bin10001010100010…
…00111110110000
3101010100012111220
420222020332300
5244141431220
622225305040
73412504560
oct1052107660
9333305456
10145264560
1174aa8461
1240795180
132413167c
1415414da0
15cb46540
hex8a88fb0

145264560 has 80 divisors (see below), whose sum is σ = 514657536. Its totient is φ = 33202944.

The previous prime is 145264531. The next prime is 145264571. The reversal of 145264560 is 65462541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1452645602 = 42203584783987200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41554 + ... + 44913.

Almost surely, 2145264560 is an apocalyptic number.

145264560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145264560 is an abundant number, since it is smaller than the sum of its proper divisors (369392976).

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

145264560 is a wasteful number, since it uses less digits than its factorization.

145264560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86490 (or 86484 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 145264560 is about 12052.5748286414. The cubic root of 145264560 is about 525.6781078826.

The spelling of 145264560 in words is "one hundred forty-five million, two hundred sixty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 86467 172934 259401 345868 432335 518802 605269 691736 864670 1037604 1210538 1297005 1383472 1729340 1815807 2075208 2421076 2594010 3026345 3458680 3631614 4150416 4842152 5188020 6052690 6917360 7263228 9079035 9684304 10376040 12105380 14526456 18158070 20752080 24210760 29052912 36316140 48421520 72632280 145264560