Search a number
-
+
1153745056 = 25197012707
BaseRepresentation
bin100010011000100…
…1100000010100000
32222101222022200101
41010301030002200
54330324320211
6310252432144
740406446132
oct10461140240
92871868611
101153745056
11542293812
12282478654
1315504a8a9
14ad32d052
156b4505c1
hex44c4c0a0

1153745056 has 48 divisors (see below), whose sum is σ = 2395280160. Its totient is φ = 545529600.

The previous prime is 1153745023. The next prime is 1153745081. The reversal of 1153745056 is 6505473511.

It is a super-2 number, since 2×11537450562 = 2662255308488886272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424855 + ... + 427561.

It is an arithmetic number, because the mean of its divisors is an integer number (49901670).

Almost surely, 21153745056 is an apocalyptic number.

1153745056 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 1153745056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197640080).

1153745056 is an abundant number, since it is smaller than the sum of its proper divisors (1241535104).

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

1153745056 is a wasteful number, since it uses less digits than its factorization.

1153745056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The square root of 1153745056 is about 33966.8228717377. The cubic root of 1153745056 is about 1048.8256124515.

The spelling of 1153745056 in words is "one billion, one hundred fifty-three million, seven hundred forty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 701 1402 2707 2804 5414 5608 10828 11216 13319 21656 22432 26638 43312 51433 53276 86624 102866 106552 205732 213104 411464 426208 822928 1645856 1897607 3795214 7590428 15180856 30361712 36054533 60723424 72109066 144218132 288436264 576872528 1153745056