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392716020 = 22354722963
BaseRepresentation
bin10111011010000…
…101111011110100
31000100222001002210
4113122011323310
51301013403040
6102545133420
712506013444
oct2732057364
91010861083
10392716020
111917503a4
12ab62a270
1363491058
143a22a124
1524725480
hex17685ef4

392716020 has 72 divisors (see below), whose sum is σ = 1123877664. Its totient is φ = 102461504.

The previous prime is 392716013. The next prime is 392716021. The reversal of 392716020 is 20617293.

392716020 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392716021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131059 + ... + 134021.

It is an arithmetic number, because the mean of its divisors is an integer number (15609412).

Almost surely, 2392716020 is an apocalyptic number.

392716020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 392716020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561938832).

392716020 is an abundant number, since it is smaller than the sum of its proper divisors (731161644).

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

392716020 is a wasteful number, since it uses less digits than its factorization.

392716020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3020 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 392716020 is about 19817.0638592098. The cubic root of 392716020 is about 732.3064723437.

The spelling of 392716020 in words is "three hundred ninety-two million, seven hundred sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2209 2820 2963 4418 5926 6627 8836 8889 11045 11852 13254 14815 17778 22090 26508 29630 33135 35556 44180 44445 59260 66270 88890 132540 139261 177780 278522 417783 557044 696305 835566 1392610 1671132 2088915 2785220 4177830 6545267 8355660 13090534 19635801 26181068 32726335 39271602 65452670 78543204 98179005 130905340 196358010 392716020