Search a number
-
+
146395020 = 22353178707
BaseRepresentation
bin10001011100111…
…00111110001100
3101012110122012210
420232130332030
5244434120040
622305430420
73425223432
oct1056347614
9335418183
10146395020
11756aa822
124103b410
1324439095
141562ad52
15ccbb480
hex8b9cf8c

146395020 has 48 divisors (see below), whose sum is σ = 423134208. Its totient is φ = 37778880.

The previous prime is 146394991. The next prime is 146395021. The reversal of 146395020 is 20593641.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (146395021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37494 + ... + 41213.

It is an arithmetic number, because the mean of its divisors is an integer number (8815296).

Almost surely, 2146395020 is an apocalyptic number.

146395020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146395020 is an abundant number, since it is smaller than the sum of its proper divisors (276739188).

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

146395020 is a wasteful number, since it uses less digits than its factorization.

146395020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78750 (or 78748 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 146395020 is about 12099.3809759012. The cubic root of 146395020 is about 527.0382083396.

The spelling of 146395020 in words is "one hundred forty-six million, three hundred ninety-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 78707 157414 236121 314828 393535 472242 787070 944484 1180605 1574140 2361210 2439917 4722420 4879834 7319751 9759668 12199585 14639502 24399170 29279004 36598755 48798340 73197510 146395020