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2125010400 = 25352885421
BaseRepresentation
bin111111010101001…
…0001010111100000
312111002120201020220
41332222101113200
513323000313100
6550510203040
7103442201412
oct17652212740
95432521226
102125010400
119a0570847
124b37b3480
1327b336a06
1416231a9b2
15c6857aa0
hex7ea915e0

2125010400 has 72 divisors (see below), whose sum is σ = 6916916664. Its totient is φ = 566668800.

The previous prime is 2125010399. The next prime is 2125010429. The reversal of 2125010400 is 40105212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2125010400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 440311 + ... + 445110.

It is an arithmetic number, because the mean of its divisors is an integer number (96068287).

Almost surely, 22125010400 is an apocalyptic number.

2125010400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2125010400 is an abundant number, since it is smaller than the sum of its proper divisors (4791906264).

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

2125010400 is a wasteful number, since it uses less digits than its factorization.

2125010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885444 (or 885431 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2125010400 is about 46097.8350901645. The cubic root of 2125010400 is about 1285.6428926848.

Adding to 2125010400 its reverse (40105212), we get a palindrome (2165115612).

The spelling of 2125010400 in words is "two billion, one hundred twenty-five million, ten thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 885421 1770842 2656263 3541684 4427105 5312526 7083368 8854210 10625052 13281315 14166736 17708420 21250104 22135525 26562630 28333472 35416840 42500208 44271050 53125260 66406575 70833680 85000416 88542100 106250520 132813150 141667360 177084200 212501040 265626300 354168400 425002080 531252600 708336800 1062505200 2125010400