Search a number
-
+
145732560 = 2435607219
BaseRepresentation
bin10001010111110…
…11001111010000
3101011012222111020
420223323033100
5244301420220
622243315440
73416464161
oct1053731720
9334188436
10145732560
1175298036
124097bb80
13242666ac
14154d7768
15cbda040
hex8afb3d0

145732560 has 40 divisors (see below), whose sum is σ = 451771680. Its totient is φ = 38861952.

The previous prime is 145732493. The next prime is 145732583. The reversal of 145732560 is 65237541.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 303370 + ... + 303849.

It is an arithmetic number, because the mean of its divisors is an integer number (11294292).

Almost surely, 2145732560 is an apocalyptic number.

145732560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145732560 is an abundant number, since it is smaller than the sum of its proper divisors (306039120).

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

145732560 is a wasteful number, since it uses less digits than its factorization.

145732560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607235 (or 607229 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 145732560 is about 12071.9741550419. The cubic root of 145732560 is about 526.2420298460.

The spelling of 145732560 in words is "one hundred forty-five million, seven hundred thirty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 607219 1214438 1821657 2428876 3036095 3643314 4857752 6072190 7286628 9108285 9715504 12144380 14573256 18216570 24288760 29146512 36433140 48577520 72866280 145732560