Search a number
-
+
145748040 = 23351214567
BaseRepresentation
bin10001010111111…
…11000001001000
3101011020202201120
420223333001020
5244302414130
622243515240
73416560254
oct1053770110
9334222646
10145748040
11752a8729
1240988b20
1324270759
14154dd264
15cbde910
hex8aff048

145748040 has 32 divisors (see below), whose sum is σ = 437244480. Its totient is φ = 38866112.

The previous prime is 145748011. The next prime is 145748051. The reversal of 145748040 is 40847541.

It is a junction number, because it is equal to n+sod(n) for n = 145747992 and 145748010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 607164 + ... + 607403.

It is an arithmetic number, because the mean of its divisors is an integer number (13663890).

Almost surely, 2145748040 is an apocalyptic number.

145748040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145748040 is an abundant number, since it is smaller than the sum of its proper divisors (291496440).

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

145748040 is a wasteful number, since it uses less digits than its factorization.

145748040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214581 (or 1214577 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 145748040 is about 12072.6152924708. The cubic root of 145748040 is about 526.2606620085.

The spelling of 145748040 in words is "one hundred forty-five million, seven hundred forty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1214567 2429134 3643701 4858268 6072835 7287402 9716536 12145670 14574804 18218505 24291340 29149608 36437010 48582680 72874020 145748040