Search a number
-
+
54454160 = 245719587
BaseRepresentation
bin1100111110111…
…0011110010000
310210110120001202
43033232132100
5102420013120
65223050332
71230565325
oct317563620
9123416052
1054454160
1128813242
12162a09a8
13b3878c7
147336b4c
154ba9875
hex33ee790

54454160 has 40 divisors (see below), whose sum is σ = 128402496. Its totient is φ = 21472640.

The previous prime is 54454117. The next prime is 54454163. The reversal of 54454160 is 6145445.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (54454163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 887 + ... + 10473.

Almost surely, 254454160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54454160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64201248).

54454160 is an abundant number, since it is smaller than the sum of its proper divisors (73948336).

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

54454160 is a wasteful number, since it uses less digits than its factorization.

54454160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9671 (or 9665 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 54454160 is about 7379.3062004500. The cubic root of 54454160 is about 379.0329983823.

The spelling of 54454160 in words is "fifty-four million, four hundred fifty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 9587 19174 38348 47935 76696 95870 153392 191740 383480 680677 766960 1361354 2722708 3403385 5445416 6806770 10890832 13613540 27227080 54454160