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2140554400 = 25522675693
BaseRepresentation
bin111111110010110…
…0100010010100000
312112011211102121121
41333211210102200
513340440220100
6552223302024
7104021261245
oct17745442240
95464742547
102140554400
119a9318226
124b8a4a914
13281619b4a
141644055cc
15c7dc851a
hex7f9644a0

2140554400 has 36 divisors (see below), whose sum is σ = 5225630382. Its totient is φ = 856221440.

The previous prime is 2140554349. The next prime is 2140554419. The reversal of 2140554400 is 44550412.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1667578896 + 472975504 = 40836^2 + 21748^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1337047 + ... + 1338646.

Almost surely, 22140554400 is an apocalyptic number.

2140554400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140554400 is an abundant number, since it is smaller than the sum of its proper divisors (3085075982).

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

2140554400 is a wasteful number, since it uses less digits than its factorization.

2140554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675713 (or 2675700 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2140554400 is about 46266.1258373770. The cubic root of 2140554400 is about 1288.7700152400.

The spelling of 2140554400 in words is "two billion, one hundred forty million, five hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2675693 5351386 10702772 13378465 21405544 26756930 42811088 53513860 66892325 85622176 107027720 133784650 214055440 267569300 428110880 535138600 1070277200 2140554400