Search a number
-
+
145618432 = 291914969
BaseRepresentation
bin10001010110111…
…11011000000000
3101011000011221021
420223133120000
5244234242212
622241035224
73415510351
oct1053373000
9334004837
10145618432
117521a313
1240925b14
132422676b
14154a7d28
15cbb6307
hex8adf600

145618432 has 40 divisors (see below), whose sum is σ = 306286200. Its totient is φ = 68972544.

The previous prime is 145618411. The next prime is 145618453. The reversal of 145618432 is 234816541.

It is an interprime number because it is at equal distance from previous prime (145618411) and next prime (145618453).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2244 + ... + 17212.

It is an arithmetic number, because the mean of its divisors is an integer number (7657155).

Almost surely, 2145618432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145618432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153143100).

145618432 is an abundant number, since it is smaller than the sum of its proper divisors (160667768).

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

145618432 is an equidigital number, since it uses as much as digits as its factorization.

145618432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15006 (or 14990 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 145618432 is about 12067.2462475910. The cubic root of 145618432 is about 526.1046214424.

The spelling of 145618432 in words is "one hundred forty-five million, six hundred eighteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1216 2432 4864 9728 14969 29938 59876 119752 239504 284411 479008 568822 958016 1137644 1916032 2275288 3832064 4550576 7664128 9101152 18202304 36404608 72809216 145618432