Search a number
-
+
1353482064 = 2432111750263
BaseRepresentation
bin101000010101100…
…0111111101010000
310111022211000100100
41100223013331100
510232442411224
6342145452400
745353256564
oct12053077520
93438730310
101353482064
11635007120
12319341100
1318754227c
14cba836a4
157dc56ac9
hex50ac7f50

1353482064 has 120 divisors (see below), whose sum is σ = 4375380672. Its totient is φ = 386012160.

The previous prime is 1353482033. The next prime is 1353482093. The reversal of 1353482064 is 4602843531.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1797 + ... + 52059.

Almost surely, 21353482064 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 1353482064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187690336).

1353482064 is an abundant number, since it is smaller than the sum of its proper divisors (3021898608).

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

1353482064 is a wasteful number, since it uses less digits than its factorization.

1353482064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50305 (or 50296 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1353482064 is about 36789.7005152257. The cubic root of 1353482064 is about 1106.1588584876.

The spelling of 1353482064 in words is "one billion, three hundred fifty-three million, four hundred eighty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 2244 2448 2992 3366 4488 6732 8976 13464 26928 50263 100526 150789 201052 301578 402104 452367 552893 603156 804208 854471 904734 1105786 1206312 1658679 1708942 1809468 2211572 2412624 2563413 3317358 3417884 3618936 4423144 4976037 5126826 6634716 6835768 7237872 7690239 8846288 9399181 9952074 10253652 13269432 13671536 15380478 18798362 19904148 20507304 26538864 28197543 30760956 37596724 39808296 41014608 56395086 61521912 75193448 79616592 84592629 112790172 123043824 150386896 169185258 225580344 338370516 451160688 676741032 1353482064