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2140704 = 25327433
BaseRepresentation
bin1000001010101000100000
311000202111100
420022220200
51022000304
6113514400
724124056
oct10125040
94022440
102140704
111232385
12872a00
1359c4b7
143da1d6
152c4439
hex20aa20

2140704 has 36 divisors (see below), whose sum is σ = 6088446. Its totient is φ = 713472.

The previous prime is 2140681. The next prime is 2140729. The reversal of 2140704 is 4070412.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2108304 + 32400 = 1452^2 + 180^2 .

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

It is a super-2 number, since 2×21407042 = 9165227231232, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3429 + ... + 4004.

22140704 is an apocalyptic number.

2140704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2140704 is an abundant number, since it is smaller than the sum of its proper divisors (3947742).

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

2140704 is a wasteful number, since it uses less digits than its factorization.

2140704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7449 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2140704 is about 1463.1144862929. The cubic root of 2140704 is about 128.8800037914.

The spelling of 2140704 in words is "two million, one hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7433 14866 22299 29732 44598 59464 66897 89196 118928 133794 178392 237856 267588 356784 535176 713568 1070352 2140704