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19954152 = 23321911451
BaseRepresentation
bin100110000011…
…1100111101000
31101112202221200
41030013213220
520102013102
61551404200
7331415241
oct114074750
941482850
1019954152
1110299939
126823660
1341985ba
142915cc8
151b4251c
hex13079e8

19954152 has 48 divisors (see below), whose sum is σ = 54362880. Its totient is φ = 6612000.

The previous prime is 19954147. The next prime is 19954153. The reversal of 19954152 is 25145991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (19954153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13027 + ... + 14477.

It is an arithmetic number, because the mean of its divisors is an integer number (1132560).

Almost surely, 219954152 is an apocalyptic number.

19954152 is a gapful number since it is divisible by the number (12) 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 19954152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27181440).

19954152 is an abundant number, since it is smaller than the sum of its proper divisors (34408728).

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

19954152 is a wasteful number, since it uses less digits than its factorization.

19954152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1647 counting only the distinct ones).

The product of its digits is 16200, while the sum is 36.

The square root of 19954152 is about 4467.0070517070. The cubic root of 19954152 is about 271.2341852644.

The spelling of 19954152 in words is "nineteen million, nine hundred fifty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 191 382 573 764 1146 1451 1528 1719 2292 2902 3438 4353 4584 5804 6876 8706 11608 13059 13752 17412 26118 34824 52236 104472 277141 554282 831423 1108564 1662846 2217128 2494269 3325692 4988538 6651384 9977076 19954152