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2115400 = 235271511
BaseRepresentation
bin1000000100011101001000
310222110210011
420010131020
51020143100
6113201304
723660230
oct10043510
93873704
102115400
111215371
12860234
13590b21
143d0cc0
152bbbba
hex204748

2115400 has 48 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 724800.

The previous prime is 2115397. The next prime is 2115427. The reversal of 2115400 is 45112.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 645 + ... + 2155.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

22115400 is an apocalyptic number.

2115400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2115400 is an abundant number, since it is smaller than the sum of its proper divisors (3509240).

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

2115400 is a wasteful number, since it uses less digits than its factorization.

2115400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1525 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 2115400 is about 1454.4414735561. The cubic root of 2115400 is about 128.3701848780.

The spelling of 2115400 in words is "two million, one hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 1511 3022 6044 7555 10577 12088 15110 21154 30220 37775 42308 52885 60440 75550 84616 105770 151100 211540 264425 302200 423080 528850 1057700 2115400