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54072090 = 2335474261
BaseRepresentation
bin1100111001000…
…1001100011010
310202202010222000
43032101030122
5102320301330
65210541430
71224414402
oct316211432
9122663860
1054072090
1128582186
1216137876
13b282a27
147277802
154b31560
hex339131a

54072090 has 64 divisors (see below), whose sum is σ = 147294720. Its totient is φ = 14109120.

The previous prime is 54072089. The next prime is 54072101. The reversal of 54072090 is 9027045.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10560 + ... + 14820.

It is an arithmetic number, because the mean of its divisors is an integer number (2301480).

Almost surely, 254072090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54072090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73647360).

54072090 is an abundant number, since it is smaller than the sum of its proper divisors (93222630).

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

54072090 is a wasteful number, since it uses less digits than its factorization.

54072090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 54072090 is about 7353.3726955731. The cubic root of 54072090 is about 378.1444396353.

The spelling of 54072090 in words is "fifty-four million, seventy-two thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 705 846 1269 1410 2115 2538 4230 4261 6345 8522 12690 12783 21305 25566 38349 42610 63915 76698 115047 127830 191745 200267 230094 383490 400534 575235 600801 1001335 1150470 1201602 1802403 2002670 3004005 3604806 5407209 6008010 9012015 10814418 18024030 27036045 54072090