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1361952 = 25324729
BaseRepresentation
bin101001100100000100000
32120012020200
411030200200
5322040302
645105200
714401464
oct5144040
92505220
101361952
11850289
12558200
13388bb7
142764a4
151bd81c
hex14c820

1361952 has 36 divisors (see below), whose sum is σ = 3873870. Its totient is φ = 453888.

The previous prime is 1361929. The next prime is 1361953. The reversal of 1361952 is 2591631.

It can be written as a sum of positive squares in only one way, i.e., 1354896 + 7056 = 1164^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1361953) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2077 + ... + 2652.

21361952 is an apocalyptic number.

1361952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1361952 is an abundant number, since it is smaller than the sum of its proper divisors (2511918).

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

1361952 is a wasteful number, since it uses less digits than its factorization.

1361952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4745 (or 4734 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 1361952 is about 1167.0269919758. The cubic root of 1361952 is about 110.8461467212.

The spelling of 1361952 in words is "one million, three hundred sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4729 9458 14187 18916 28374 37832 42561 56748 75664 85122 113496 151328 170244 226992 340488 453984 680976 1361952