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2132350400 = 26521332719
BaseRepresentation
bin111111100011001…
…0001010111000000
312111121101121211202
41333012101113000
513331340203100
6551331400332
7103561452005
oct17706212700
95447347752
102132350400
119a4724464
124b61530a8
1327ca068cb
141632ab8ac
15c73077d5
hex7f1915c0

2132350400 has 42 divisors (see below), whose sum is σ = 5246918640. Its totient is φ = 852939520.

The previous prime is 2132350399. The next prime is 2132350417. The reversal of 2132350400 is 40532312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 664760 + ... + 667959.

Almost surely, 22132350400 is an apocalyptic number.

2132350400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132350400 is an abundant number, since it is smaller than the sum of its proper divisors (3114568240).

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

2132350400 is a wasteful number, since it uses less digits than its factorization.

2132350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332741 (or 1332726 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2132350400 is about 46177.3797437663. The cubic root of 2132350400 is about 1287.1214383307.

Adding to 2132350400 its reverse (40532312), we get a palindrome (2172882712).

The spelling of 2132350400 in words is "two billion, one hundred thirty-two million, three hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 1332719 2665438 5330876 6663595 10661752 13327190 21323504 26654380 33317975 42647008 53308760 66635950 85294016 106617520 133271900 213235040 266543800 426470080 533087600 1066175200 2132350400