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2151074260 = 2251714942461
BaseRepresentation
bin1000000000110110…
…1100100111010100
312112220121220011001
42000031230213110
513401133334020
6553240553044
7104206554346
oct20015544724
95486556131
102151074260
11a04252a25
12500482784
1328386120a
14165983296
15c8ca550a
hex8036c9d4

2151074260 has 48 divisors (see below), whose sum is σ = 4815190800. Its totient is φ = 804362240.

The previous prime is 2151074251. The next prime is 2151074273. The reversal of 2151074260 is 624701512.

It can be written as a sum of positive squares in 8 ways, for example, as 109118916 + 2041955344 = 10446^2 + 45188^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29430 + ... + 71890.

It is an arithmetic number, because the mean of its divisors is an integer number (100316475).

Almost surely, 22151074260 is an apocalyptic number.

2151074260 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 2151074260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2407595400).

2151074260 is an abundant number, since it is smaller than the sum of its proper divisors (2664116540).

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

2151074260 is a wasteful number, since it uses less digits than its factorization.

2151074260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42636 (or 42634 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 2151074260 is about 46379.6750743254. The cubic root of 2151074260 is about 1290.8778072856.

Adding to 2151074260 its reverse (624701512), we get a palindrome (2775775772).

The spelling of 2151074260 in words is "two billion, one hundred fifty-one million, seventy-four thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 149 170 298 340 596 745 1490 2533 2980 5066 10132 12665 25330 42461 50660 84922 169844 212305 424610 721837 849220 1443674 2887348 3609185 6326689 7218370 12653378 14436740 25306756 31633445 63266890 107553713 126533780 215107426 430214852 537768565 1075537130 2151074260