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145010560 = 275317309
BaseRepresentation
bin10001010010010…
…10111110000000
3101002212022002111
420221022332000
5244110314220
622220025104
73410366212
oct1051127600
9332768074
10145010560
1174944642
1240692194
1324072b86
141538a5b2
15cae615a
hex8a4af80

145010560 has 64 divisors (see below), whose sum is σ = 357897600. Its totient is φ = 56125440.

The previous prime is 145010549. The next prime is 145010599. The reversal of 145010560 is 65010541.

145010560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 16186 + ... + 23494.

It is an arithmetic number, because the mean of its divisors is an integer number (5592150).

Almost surely, 2145010560 is an apocalyptic number.

145010560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178948800).

145010560 is an abundant number, since it is smaller than the sum of its proper divisors (212887040).

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

145010560 is an equidigital number, since it uses as much as digits as its factorization.

145010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7359 (or 7347 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 145010560 is about 12042.0330509429. The cubic root of 145010560 is about 525.3715404772.

The spelling of 145010560 in words is "one hundred forty-five million, ten thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 7309 9920 14618 19840 29236 36545 58472 73090 116944 146180 226579 233888 292360 453158 467776 584720 906316 935552 1132895 1169440 1812632 2265790 2338880 3625264 4531580 4677760 7250528 9063160 14501056 18126320 29002112 36252640 72505280 145010560