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2138480 = 24526731
BaseRepresentation
bin1000001010000101110000
311000122102222
420022011300
51021412410
6113500212
724114431
oct10120560
94018388
102138480
111230743
12871668
1359b496
143d9488
152c3955
hex20a170

2138480 has 20 divisors (see below), whose sum is σ = 4972152. Its totient is φ = 855360.

The previous prime is 2138467. The next prime is 2138483. The reversal of 2138480 is 848312.

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138483) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 13286 + ... + 13445.

22138480 is an apocalyptic number.

2138480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2138480 is an abundant number, since it is smaller than the sum of its proper divisors (2833672).

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

2138480 is a wasteful number, since it uses less digits than its factorization.

2138480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26744 (or 26738 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 2138480 is about 1462.3542662433. The cubic root of 2138480 is about 128.8353567273.

The spelling of 2138480 in words is "two million, one hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26731 53462 106924 133655 213848 267310 427696 534620 1069240 2138480