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16164420 = 2235674021
BaseRepresentation
bin111101101010…
…011001000100
31010102020102020
4331222121010
513114230140
61334243140
7254252406
oct75523104
933366366
1016164420
119140628
1254b64b0
13346c65c
14220ab76
1516446d0
hexf6a644

16164420 has 48 divisors (see below), whose sum is σ = 45947328. Its totient is φ = 4245120.

The previous prime is 16164409. The next prime is 16164457. The reversal of 16164420 is 2446161.

16164420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×161644202 = 522576947872800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2010 + ... + 6030.

It is an arithmetic number, because the mean of its divisors is an integer number (957236).

Almost surely, 216164420 is an apocalyptic number.

16164420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 4020×4021.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16164420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22973664).

16164420 is an abundant number, since it is smaller than the sum of its proper divisors (29782908).

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

16164420 is a wasteful number, since it uses less digits than its factorization.

16164420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 16164420 is about 4020.4999689093. The cubic root of 16164420 is about 252.8444210049.

The spelling of 16164420 in words is "sixteen million, one hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 4021 8042 12063 16084 20105 24126 40210 48252 60315 80420 120630 241260 269407 538814 808221 1077628 1347035 1616442 2694070 3232884 4041105 5388140 8082210 16164420