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1400364 = 223275557
BaseRepresentation
bin101010101111000101100
32122010221100
411111320230
5324302424
650003100
714621460
oct5257054
92563840
101400364
11877129
12576490
133a0524
142864a0
151c9dc9
hex155e2c

1400364 has 36 divisors (see below), whose sum is σ = 4046224. Its totient is φ = 400032.

The previous prime is 1400353. The next prime is 1400369. The reversal of 1400364 is 4630041.

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

It is a super-2 number, since 2×14003642 = 3922038664992, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1400369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2527 + ... + 3030.

21400364 is an apocalyptic number.

1400364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1400364 is an abundant number, since it is smaller than the sum of its proper divisors (2645860).

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

1400364 is a wasteful number, since it uses less digits than its factorization.

1400364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574 (or 5569 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1400364 is about 1183.3697646974. The cubic root of 1400364 is about 111.8785886722.

It can be divided in two parts, 1400 and 364, that added together give a square (1764 = 422).

The spelling of 1400364 in words is "one million, four hundred thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 5557 11114 16671 22228 33342 38899 50013 66684 77798 100026 116697 155596 200052 233394 350091 466788 700182 1400364