Search a number
-
+
145733640 = 23351393419
BaseRepresentation
bin10001010111110…
…11100000001000
3101011020000222020
420223323200020
5244301434030
622243324440
73416500263
oct1053734010
9334200866
10145733640
1175298928
1240980720
1324267030
14154d7cda
15cbda510
hex8afb808

145733640 has 64 divisors (see below), whose sum is σ = 470836800. Its totient is φ = 35872512.

The previous prime is 145733603. The next prime is 145733657. The reversal of 145733640 is 46337541.

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, 45150 + ... + 48269.

It is an arithmetic number, because the mean of its divisors is an integer number (7356825).

Almost surely, 2145733640 is an apocalyptic number.

145733640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145733640 is an abundant number, since it is smaller than the sum of its proper divisors (325103160).

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

145733640 is a wasteful number, since it uses less digits than its factorization.

145733640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93446 (or 93442 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 145733640 is about 12072.0188866651. The cubic root of 145733640 is about 526.2433298071.

The spelling of 145733640 in words is "one hundred forty-five million, seven hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 93419 186838 280257 373676 467095 560514 747352 934190 1121028 1214447 1401285 1868380 2242056 2428894 2802570 3643341 3736760 4857788 5605140 6072235 7286682 9715576 11210280 12144470 14573364 18216705 24288940 29146728 36433410 48577880 72866820 145733640