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1401264 = 243237263
BaseRepresentation
bin101010110000110110000
32122012011200
411112012300
5324320024
650011200
714624214
oct5260660
92565150
101401264
11877877
12576b00
133a0a67
14286944
151ca2c9
hex1561b0

1401264 has 60 divisors (see below), whose sum is σ = 4042896. Its totient is φ = 452736.

The previous prime is 1401263. The next prime is 1401287. The reversal of 1401264 is 4621041.

1401264 is a `hidden beast` number, since 1 + 401 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5197 + ... + 5459.

21401264 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 1401264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021448).

1401264 is an abundant number, since it is smaller than the sum of its proper divisors (2641632).

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

1401264 is a wasteful number, since it uses less digits than its factorization.

1401264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1401264 is about 1183.7499736008. The cubic root of 1401264 is about 111.9025512911.

The spelling of 1401264 in words is "one million, four hundred one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 263 296 333 444 526 592 666 789 888 1052 1332 1578 1776 2104 2367 2664 3156 4208 4734 5328 6312 9468 9731 12624 18936 19462 29193 37872 38924 58386 77848 87579 116772 155696 175158 233544 350316 467088 700632 1401264