Search a number
-
+
1053523536 = 243134141179
BaseRepresentation
bin111110110010110…
…111111001010000
32201102101112121020
4332302313321100
54124200223121
6252312355440
735051542122
oct7662677120
92642345536
101053523536
114a076090a
122549a5b80
1313a35a310
149dcc1212
15627551c6
hex3ecb7e50

1053523536 has 80 divisors (see below), whose sum is σ = 3002516160. Its totient is φ = 316247040.

The previous prime is 1053523531. The next prime is 1053523543. The reversal of 1053523536 is 6353253501.

It is a super-2 number, since 2×10535235362 = 2219823681811886592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053523497 and 1053523506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053523531) 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, 4995 + ... + 46173.

It is an arithmetic number, because the mean of its divisors is an integer number (37531452).

Almost surely, 21053523536 is an apocalyptic number.

1053523536 is a gapful number since it is divisible by the number (16) 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 1053523536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501258080).

1053523536 is an abundant number, since it is smaller than the sum of its proper divisors (1948992624).

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

1053523536 is a wasteful number, since it uses less digits than its factorization.

1053523536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41244 (or 41238 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 33.

The square root of 1053523536 is about 32458.0272968029. The cubic root of 1053523536 is about 1017.5320109781.

The spelling of 1053523536 in words is "one billion, fifty-three million, five hundred twenty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 312 328 492 533 624 656 984 1066 1599 1968 2132 3198 4264 6396 8528 12792 25584 41179 82358 123537 164716 247074 329432 494148 535327 658864 988296 1070654 1605981 1688339 1976592 2141308 3211962 3376678 4282616 5065017 6423924 6753356 8565232 10130034 12847848 13506712 20260068 21948407 25695696 27013424 40520136 43896814 65845221 81040272 87793628 131690442 175587256 263380884 351174512 526761768 1053523536