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145656360 = 23335134867
BaseRepresentation
bin10001010111010…
…00101000101000
3101011002002222000
420223220220220
5244242000420
622241531000
73416026053
oct1053505050
9334062860
10145656360
1175245863
1240943a60
132423aac5
14154b7a9a
15cbc2690
hex8ae8a28

145656360 has 64 divisors (see below), whose sum is σ = 485524800. Its totient is φ = 38841408.

The previous prime is 145656359. The next prime is 145656367. The reversal of 145656360 is 63656541.

145656360 is a `hidden beast` number, since 14 + 5 + 6 + 5 + 636 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145656367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66354 + ... + 68513.

It is an arithmetic number, because the mean of its divisors is an integer number (7586325).

Almost surely, 2145656360 is an apocalyptic number.

145656360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145656360 is an abundant number, since it is smaller than the sum of its proper divisors (339868440).

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

145656360 is a wasteful number, since it uses less digits than its factorization.

145656360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134887 (or 134877 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 145656360 is about 12068.8176720008. The cubic root of 145656360 is about 526.1502941494.

The spelling of 145656360 in words is "one hundred forty-five million, six hundred fifty-six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 134867 269734 404601 539468 674335 809202 1078936 1213803 1348670 1618404 2023005 2427606 2697340 3236808 3641409 4046010 4855212 5394680 6069015 7282818 8092020 9710424 12138030 14565636 16184040 18207045 24276060 29131272 36414090 48552120 72828180 145656360