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1392217216 = 27131038123
BaseRepresentation
bin101001011111011…
…1000110010000000
310121000200221222121
41102332320302000
510322401422331
6350052014024
746333436215
oct12276706200
93530627877
101392217216
11654963445
1232a301314
13192585190
14d2c87b0c
1582358c11
hex52fb8c80

1392217216 has 64 divisors (see below), whose sum is σ = 3016278720. Its totient is φ = 636244992.

The previous prime is 1392217207. The next prime is 1392217217. The reversal of 1392217216 is 6127122931.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1392217217) 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, 167331 + ... + 175453.

It is an arithmetic number, because the mean of its divisors is an integer number (47129355).

Almost surely, 21392217216 is an apocalyptic number.

1392217216 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 1392217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508139360).

1392217216 is an abundant number, since it is smaller than the sum of its proper divisors (1624061504).

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

1392217216 is a wasteful number, since it uses less digits than its factorization.

1392217216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8253 (or 8241 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 1392217216 is about 37312.4270987563. The cubic root of 1392217216 is about 1116.6121092327.

The spelling of 1392217216 in words is "one billion, three hundred ninety-two million, two hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 128 206 208 412 416 824 832 1339 1648 1664 2678 3296 5356 6592 8123 10712 13184 16246 21424 32492 42848 64984 85696 105599 129968 171392 211198 259936 422396 519872 836669 844792 1039744 1673338 1689584 3346676 3379168 6693352 6758336 10876697 13386704 13516672 21753394 26773408 43506788 53546816 87013576 107093632 174027152 348054304 696108608 1392217216