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1396965376 = 218732
BaseRepresentation
bin101001101000100…
…0000000000000000
310121100122012020101
41103101000000000
510330110343001
6350341452144
746422003232
oct12321000000
93540565211
101396965376
11657606844
1232ba11054
13193558441
14d3762252
1582995a01
hex53440000

1396965376 has 57 divisors (see below), whose sum is σ = 2832722661. Its totient is φ = 688914432.

The previous prime is 1396965359. The next prime is 1396965403. The reversal of 1396965376 is 6735696931.

The square root of 1396965376 is 37376.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 792985600 + 603979776 = 28160^2 + 24576^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 19136476 + ... + 19136548.

Almost surely, 21396965376 is an apocalyptic number.

1396965376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1396965376 is the 37376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1396965376

1396965376 is an abundant number, since it is smaller than the sum of its proper divisors (1435757285).

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

1396965376 is an frugal number, since it uses more digits than its factorization.

1396965376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 75 counting only the distinct ones).

The product of its digits is 5511240, while the sum is 55.

The cubic root of 1396965376 is about 1117.8800715781.

The spelling of 1396965376 in words is "one billion, three hundred ninety-six million, nine hundred sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 1024 1168 2048 2336 4096 4672 5329 8192 9344 10658 16384 18688 21316 32768 37376 42632 65536 74752 85264 131072 149504 170528 262144 299008 341056 598016 682112 1196032 1364224 2392064 2728448 4784128 5456896 9568256 10913792 19136512 21827584 43655168 87310336 174620672 349241344 698482688 1396965376