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2151124304 = 24728930829
BaseRepresentation
bin1000000000110111…
…1000110101010000
312112220201102210112
42000031320311100
513401141434204
6553242020452
7104210153300
oct20015706520
95486642715
102151124304
11a0428758a
125004a7728
1328387ac24
14165997600
15c8cb526e
hex80378d50

2151124304 has 60 divisors (see below), whose sum is σ = 4902894900. Its totient is φ = 911522304.

The previous prime is 2151124279. The next prime is 2151124319. The reversal of 2151124304 is 4034211512.

It can be written as a sum of positive squares in 2 ways, for example, as 1193840704 + 957283600 = 34552^2 + 30940^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2151124304.

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, 54362 + ... + 85190.

It is an arithmetic number, because the mean of its divisors is an integer number (81714915).

Almost surely, 22151124304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2151124304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451447450).

2151124304 is an abundant number, since it is smaller than the sum of its proper divisors (2751770596).

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

2151124304 is a wasteful number, since it uses less digits than its factorization.

2151124304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30940 (or 30927 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 2151124304 is about 46380.2145747516. The cubic root of 2151124304 is about 1290.8878178168.

Adding to 2151124304 its reverse (4034211512), we get a palindrome (6185335816).

The spelling of 2151124304 in words is "two billion, one hundred fifty-one million, one hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 89 98 112 178 196 356 392 623 712 784 1246 1424 2492 4361 4984 8722 9968 17444 30829 34888 61658 69776 123316 215803 246632 431606 493264 863212 1510621 1726424 2743781 3021242 3452848 5487562 6042484 10975124 12084968 19206467 21950248 24169936 38412934 43900496 76825868 134445269 153651736 268890538 307303472 537781076 1075562152 2151124304