Search a number
-
+
1397792 = 25112192
BaseRepresentation
bin101010101010000100000
32122000102002
411111100200
5324212132
645543132
714611124
oct5252040
92560362
101397792
11875200
12574aa8
1339c2c6
14285584
151c9262
hex155420

1397792 has 54 divisors (see below), whose sum is σ = 3192399. Its totient is φ = 601920.

The previous prime is 1397783. The next prime is 1397833. The reversal of 1397792 is 2977931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 698896 + 698896 = 836^2 + 836^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=836.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an Ulam number.

It is a nialpdrome in base 11.

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 8 ways as a sum of consecutive naturals, for example, 73559 + ... + 73577.

21397792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1397792

1397792 is an abundant number, since it is smaller than the sum of its proper divisors (1794607).

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

1397792 is a wasteful number, since it uses less digits than its factorization.

1397792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 32 counting only the distinct ones).

The product of its digits is 23814, while the sum is 38.

The square root of 1397792 is about 1182.2825381439. The cubic root of 1397792 is about 111.8100521874.

It can be divided in two parts, 1 and 397792, that added together give a palindrome (397793).

The spelling of 1397792 in words is "one million, three hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 121 152 176 209 242 304 352 361 418 484 608 722 836 968 1444 1672 1936 2299 2888 3344 3872 3971 4598 5776 6688 7942 9196 11552 15884 18392 31768 36784 43681 63536 73568 87362 127072 174724 349448 698896 1397792