Search a number
-
+
54740900 = 22521947613
BaseRepresentation
bin1101000011010…
…0011110100100
310211000010101202
43100310132210
5103003202100
65233142032
71233201314
oct320643644
9124003352
1054740900
1128999715
12163ba918
13b458286
1473ad444
154c147d5
hex34347a4

54740900 has 72 divisors (see below), whose sum is σ = 127908480. Its totient is φ = 20269440.

The previous prime is 54740899. The next prime is 54740921. The reversal of 54740900 is 904745.

It is a super-2 number, since 2×547409002 = 5993132265620000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88994 + ... + 89606.

Almost surely, 254740900 is an apocalyptic number.

54740900 is a gapful number since it is divisible by the number (50) 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 54740900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63954240).

54740900 is an abundant number, since it is smaller than the sum of its proper divisors (73167580).

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

54740900 is a wasteful number, since it uses less digits than its factorization.

54740900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 54740900 is about 7398.7093469064. The cubic root of 54740900 is about 379.6971270852.

The spelling of 54740900 in words is "fifty-four million, seven hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 47 50 76 94 95 100 188 190 235 380 470 475 613 893 940 950 1175 1226 1786 1900 2350 2452 3065 3572 4465 4700 6130 8930 11647 12260 15325 17860 22325 23294 28811 30650 44650 46588 57622 58235 61300 89300 115244 116470 144055 232940 288110 291175 547409 576220 582350 720275 1094818 1164700 1440550 2189636 2737045 2881100 5474090 10948180 13685225 27370450 54740900