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1397376 = 27321213
BaseRepresentation
bin101010101001010000000
32121222211200
411111022000
5324204001
645541200
714606661
oct5251200
92558750
101397376
11874962
12574800
1339c066
14285368
151c9086
hex155280

1397376 has 48 divisors (see below), whose sum is σ = 4024410. Its totient is φ = 465408.

The previous prime is 1397359. The next prime is 1397437. The reversal of 1397376 is 6737931.

It can be written as a sum of positive squares in only one way, i.e., 1382976 + 14400 = 1176^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1397376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 546 + ... + 1758.

21397376 is an apocalyptic number.

1397376 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 1397376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012205).

1397376 is an abundant number, since it is smaller than the sum of its proper divisors (2627034).

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

1397376 is a wasteful number, since it uses less digits than its factorization.

1397376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1218 counting only the distinct ones).

The product of its digits is 23814, while the sum is 36.

The square root of 1397376 is about 1182.1065941784. The cubic root of 1397376 is about 111.7989590737.

The spelling of 1397376 in words is "one million, three hundred ninety-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1213 2426 3639 4852 7278 9704 10917 14556 19408 21834 29112 38816 43668 58224 77632 87336 116448 155264 174672 232896 349344 465792 698688 1397376