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1372136688 = 243213256383
BaseRepresentation
bin101000111001001…
…0010010011110000
310112121220202200100
41101302102103300
510302231333223
6344053352400
746000653336
oct12162222360
93477822610
101372136688
1164459866a
12323638700
1318b374200
14d033bb56
15806de043
hex51c924f0

1372136688 has 90 divisors (see below), whose sum is σ = 4158263616. Its totient is φ = 422188416.

The previous prime is 1372136687. The next prime is 1372136713. The reversal of 1372136688 is 8866312731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1372136687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3856 + ... + 52527.

Almost surely, 21372136688 is an apocalyptic number.

1372136688 is a gapful number since it is divisible by the number (18) 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 1372136688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079131808).

1372136688 is an abundant number, since it is smaller than the sum of its proper divisors (2786126928).

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

1372136688 is a wasteful number, since it uses less digits than its factorization.

1372136688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56423 (or 56401 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1372136688 is about 37042.3634235182. The cubic root of 1372136688 is about 1111.2176362876.

The spelling of 1372136688 in words is "one billion, three hundred seventy-two million, one hundred thirty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 24336 56383 112766 169149 225532 338298 451064 507447 676596 732979 902128 1014894 1353192 1465958 2029788 2198937 2706384 2931916 4059576 4397874 5863832 6596811 8119152 8795748 9528727 11727664 13193622 17591496 19057454 26387244 28586181 35182992 38114908 52774488 57172362 76229816 85758543 105548976 114344724 152459632 171517086 228689448 343034172 457378896 686068344 1372136688