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54134190 = 23351121657
BaseRepresentation
bin1100111010000…
…0010110101110
310202212022011000
43032200112232
5102324243230
65212141130
71225063425
oct316402656
9122768130
1054134190
1128614900
12161677a6
13b2a5086
1472922bc
154b44b60
hex33a05ae

54134190 has 96 divisors (see below), whose sum is σ = 158770080. Its totient is φ = 13115520.

The previous prime is 54134149. The next prime is 54134207. The reversal of 54134190 is 9143145.

54134190 is a `hidden beast` number, since 541 + 34 + 1 + 90 = 666.

54134190 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 2×541341902 = 5861021053912200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 31842 + ... + 33498.

It is an arithmetic number, because the mean of its divisors is an integer number (1653855).

Almost surely, 254134190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54134190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79385040).

54134190 is an abundant number, since it is smaller than the sum of its proper divisors (104635890).

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

54134190 is a wasteful number, since it uses less digits than its factorization.

54134190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 54134190 is about 7357.5940360963. The cubic root of 54134190 is about 378.2891463636.

The spelling of 54134190 in words is "fifty-four million, one hundred thirty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 121 135 165 198 242 270 297 330 363 495 594 605 726 990 1089 1210 1485 1657 1815 2178 2970 3267 3314 3630 4971 5445 6534 8285 9942 10890 14913 16335 16570 18227 24855 29826 32670 36454 44739 49710 54681 74565 89478 91135 109362 149130 164043 182270 200497 223695 273405 328086 400994 447390 492129 546810 601491 820215 984258 1002485 1202982 1640430 1804473 2004970 2460645 3007455 3608946 4921290 5413419 6014910 9022365 10826838 18044730 27067095 54134190