Search a number
-
+
1355102892 = 2233111387743
BaseRepresentation
bin101000011000101…
…0011101010101100
310111102212100201000
41100301103222230
510233401243032
6342244320300
745403120203
oct12061235254
93442770630
101355102892
11635a13950
123199a3090
1318798bc40
14cbd8623a
157de76e7c
hex50c53aac

1355102892 has 96 divisors (see below), whose sum is σ = 4127477760. Its totient is φ = 379045440.

The previous prime is 1355102873. The next prime is 1355102897. The reversal of 1355102892 is 2982015531.

1355102892 is a `hidden beast` number, since 1 + 35 + 510 + 28 + 92 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1355102897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28428 + ... + 59315.

It is an arithmetic number, because the mean of its divisors is an integer number (42994560).

Almost surely, 21355102892 is an apocalyptic number.

1355102892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1355102892 is an abundant number, since it is smaller than the sum of its proper divisors (2772374868).

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

1355102892 is a wasteful number, since it uses less digits than its factorization.

1355102892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87780 (or 87772 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1355102892 is about 36811.7222091007. The cubic root of 1355102892 is about 1106.6002331453.

The spelling of 1355102892 in words is "one billion, three hundred fifty-five million, one hundred two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3861 5148 7722 15444 87743 175486 263229 350972 526458 789687 965173 1052916 1140659 1579374 1930346 2281318 2369061 2895519 3158748 3421977 3860692 4562636 4738122 5791038 6843954 8686557 9476244 10265931 11582076 12547249 13687908 17373114 20531862 25094498 26059671 30797793 34746228 37641747 41063724 50188996 52119342 61595586 75283494 104238684 112925241 123191172 150566988 225850482 338775723 451700964 677551446 1355102892