Search a number
-
+
2053754004 = 2231937923767
BaseRepresentation
bin111101001101001…
…1100110010010100
312022010111111212010
41322122130302110
513201230112004
6535443024220
7101615423001
oct17232346224
95263444763
102053754004
11964321865
1249396b070
13269648373
14156a8c8a8
15c047ea89
hex7a69cc94

2053754004 has 48 divisors (see below), whose sum is σ = 5057830400. Its totient is φ = 646815456.

The previous prime is 2053753997. The next prime is 2053754009. The reversal of 2053754004 is 4004573502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053754009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74529 + ... + 98295.

Almost surely, 22053754004 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 2053754004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528915200).

2053754004 is an abundant number, since it is smaller than the sum of its proper divisors (3004076396).

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

2053754004 is a wasteful number, since it uses less digits than its factorization.

2053754004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24172 (or 24170 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 2053754004 is about 45318.3627683084. The cubic root of 2053754004 is about 1271.1090409497.

The spelling of 2053754004 in words is "two billion, fifty-three million, seven hundred fifty-four thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 379 758 1137 1516 2274 4548 7201 14402 21603 23767 28804 43206 47534 71301 86412 95068 142602 285204 451573 903146 1354719 1806292 2709438 5418876 9007693 18015386 27023079 36030772 54046158 108092316 171146167 342292334 513438501 684584668 1026877002 2053754004