Search a number
-
+
1356972096 = 263171921881
BaseRepresentation
bin101000011100001…
…1100000001000000
310111120101022202210
41100320130001000
510234341101341
6342352342120
745425033604
oct12070340100
93446338683
101356972096
11636a80247
1231a544940
1318819498c
14cc311504
157e1e5c16
hex50e1c040

1356972096 has 112 divisors (see below), whose sum is σ = 4001780160. Its totient is φ = 403292160.

The previous prime is 1356972061. The next prime is 1356972103. The reversal of 1356972096 is 6902796531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51076 + ... + 72956.

It is an arithmetic number, because the mean of its divisors is an integer number (35730180).

Almost surely, 21356972096 is an apocalyptic number.

1356972096 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 1356972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000890080).

1356972096 is an abundant number, since it is smaller than the sum of its proper divisors (2644808064).

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

1356972096 is a wasteful number, since it uses less digits than its factorization.

1356972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21932 (or 21922 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The square root of 1356972096 is about 36837.1021661585. The cubic root of 1356972096 is about 1107.1088073790.

The spelling of 1356972096 in words is "one billion, three hundred fifty-six million, nine hundred seventy-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 136 152 192 204 228 272 304 323 408 456 544 608 646 816 912 969 1088 1216 1292 1632 1824 1938 2584 3264 3648 3876 5168 7752 10336 15504 20672 21881 31008 43762 62016 65643 87524 131286 175048 262572 350096 371977 415739 525144 700192 743954 831478 1050288 1115931 1247217 1400384 1487908 1662956 2100576 2231862 2494434 2975816 3325912 4201152 4463724 4988868 5951632 6651824 7067563 8927448 9977736 11903264 13303648 14135126 17854896 19955472 21202689 23806528 26607296 28270252 35709792 39910944 42405378 56540504 71419584 79821888 84810756 113081008 169621512 226162016 339243024 452324032 678486048 1356972096