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1380731712 = 26367181593
BaseRepresentation
bin101001001001100…
…0100101101000000
310120020002102211120
41102103010231000
510311431403322
6345001512240
746134011613
oct12223045500
93506072746
101380731712
11649429198
123264a2680
13190093419
14d153817a
158133aa5c
hex524c4b40

1380731712 has 112 divisors (see below), whose sum is σ = 3734482752. Its totient is φ = 450109440.

The previous prime is 1380731669. The next prime is 1380731717. The reversal of 1380731712 is 2171370831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380731717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2328088 + ... + 2328680.

It is an arithmetic number, because the mean of its divisors is an integer number (33343596).

Almost surely, 21380731712 is an apocalyptic number.

1380731712 is a gapful number since it is divisible by the number (12) 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 1380731712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867241376).

1380731712 is an abundant number, since it is smaller than the sum of its proper divisors (2353751040).

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

1380731712 is a wasteful number, since it uses less digits than its factorization.

1380731712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 1380731712 is about 37158.1984493328. The cubic root of 1380731712 is about 1113.5330200664.

The spelling of 1380731712 in words is "one billion, three hundred eighty million, seven hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 181 192 201 268 362 402 536 543 593 724 804 1072 1086 1186 1448 1608 1779 2144 2172 2372 2896 3216 3558 4288 4344 4744 5792 6432 7116 8688 9488 11584 12127 12864 14232 17376 18976 24254 28464 34752 36381 37952 39731 48508 56928 72762 79462 97016 107333 113856 119193 145524 158924 194032 214666 238386 291048 317848 321999 388064 429332 476772 582096 635696 643998 776128 858664 953544 1164192 1271392 1287996 1717328 1907088 2328384 2542784 2575992 3434656 3814176 5151984 6869312 7191311 7628352 10303968 14382622 20607936 21573933 28765244 43147866 57530488 86295732 115060976 172591464 230121952 345182928 460243904 690365856 1380731712