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1399032192 = 27335310321
BaseRepresentation
bin101001101100011…
…1000100110000000
310121111112012101010
41103120320212000
510331123012232
6350454040520
746445402025
oct12330704600
93544465333
101399032192
11658798658
12330649140
13193b000cc
14d3b3d54c
1582c530cc
hex53638980

1399032192 has 64 divisors (see below), whose sum is σ = 3727067760. Its totient is φ = 464977920.

The previous prime is 1399032191. The next prime is 1399032199. The reversal of 1399032192 is 2912309931.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1399032192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1399032191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130392 + ... + 140712.

Almost surely, 21399032192 is an apocalyptic number.

1399032192 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 1399032192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863533880).

1399032192 is an abundant number, since it is smaller than the sum of its proper divisors (2328035568).

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

1399032192 is a wasteful number, since it uses less digits than its factorization.

1399032192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10691 (or 10679 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 39.

The square root of 1399032192 is about 37403.6387534689. The cubic root of 1399032192 is about 1118.4311026326.

The spelling of 1399032192 in words is "one billion, three hundred ninety-nine million, thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 353 384 706 1059 1412 2118 2824 4236 5648 8472 10321 11296 16944 20642 22592 30963 33888 41284 45184 61926 67776 82568 123852 135552 165136 247704 330272 495408 660544 990816 1321088 1981632 3643313 3963264 7286626 10929939 14573252 21859878 29146504 43719756 58293008 87439512 116586016 174879024 233172032 349758048 466344064 699516096 1399032192