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146362020 = 22357249783
BaseRepresentation
bin10001011100101…
…00111010100100
3101012101221221120
420232110322210
5244432041040
622305013540
73425025300
oct1056247244
9335357846
10146362020
1175687a52
12410242b0
132442705c
141561cd00
15ccb17d0
hex8b94ea4

146362020 has 72 divisors (see below), whose sum is σ = 476731584. Its totient is φ = 33453504.

The previous prime is 146362001. The next prime is 146362031. The reversal of 146362020 is 20263641.

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 23 ways as a sum of consecutive naturals, for example, 21952 + ... + 27831.

It is an arithmetic number, because the mean of its divisors is an integer number (6621272).

Almost surely, 2146362020 is an apocalyptic number.

146362020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146362020 is an abundant number, since it is smaller than the sum of its proper divisors (330369564).

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

146362020 is a wasteful number, since it uses less digits than its factorization.

146362020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49809 (or 49800 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 146362020 is about 12098.0171929122. The cubic root of 146362020 is about 526.9986041512.

The spelling of 146362020 in words is "one hundred forty-six million, three hundred sixty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 49783 99566 149349 199132 248915 298698 348481 497830 597396 696962 746745 995660 1045443 1393924 1493490 1742405 2090886 2439367 2986980 3484810 4181772 4878734 5227215 6969620 7318101 9757468 10454430 12196835 14636202 20908860 24393670 29272404 36590505 48787340 73181010 146362020