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2704112148 = 223191031131019
BaseRepresentation
bin1010000100101101…
…0111101000010100
320222110021010111210
42201023113220110
521014223042043
61124154301420
7124003400613
oct24113275024
96873233453
102704112148
111168445531
12635727870
133412c637a
141b91c387a
1510c5e8633
hexa12d7a14

2704112148 has 96 divisors (see below), whose sum is σ = 6772147200. Its totient is φ = 837333504.

The previous prime is 2704112143. The next prime is 2704112149. The reversal of 2704112148 is 8412114072.

It is a super-2 number, since 2×27041121482 = 14624445017922347808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2704112141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2653183 + ... + 2654201.

It is an arithmetic number, because the mean of its divisors is an integer number (70543200).

Almost surely, 22704112148 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 2704112148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386073600).

2704112148 is an abundant number, since it is smaller than the sum of its proper divisors (4068035052).

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

2704112148 is a wasteful number, since it uses less digits than its factorization.

2704112148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 2704112148 is about 52001.0783349730. The cubic root of 2704112148 is about 1393.1832137332.

The spelling of 2704112148 in words is "two billion, seven hundred four million, one hundred twelve thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 103 113 114 206 226 228 309 339 412 452 618 678 1019 1236 1356 1957 2038 2147 3057 3914 4076 4294 5871 6114 6441 7828 8588 11639 11742 12228 12882 19361 23278 23484 25764 34917 38722 46556 58083 69834 77444 104957 115147 116166 139668 209914 221141 230294 232332 314871 345441 419828 442282 460588 629742 663423 690882 884564 1259484 1326846 1381764 1994183 2187793 2653692 3988366 4375586 5982549 6563379 7976732 8751172 11860141 11965098 13126758 23720282 23930196 26253516 35580423 47440564 71160846 142321692 225342679 450685358 676028037 901370716 1352056074 2704112148