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2890167930 = 2325132470229
BaseRepresentation
bin1010110001000100…
…0111011001111010
321110102100202001200
42230101013121322
521404340333210
61154442155030
7131423010366
oct25421073172
97412322050
102890167930
111253473a41
12687ab2a76
13370a0a750
141d5bb62a6
1511daeb0c0
hexac44767a

2890167930 has 48 divisors (see below), whose sum is σ = 8092473480. Its totient is φ = 711425664.

The previous prime is 2890167877. The next prime is 2890167937. The reversal of 2890167930 is 397610982.

2890167930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2616629409 + 273538521 = 51153^2 + 16539^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2890167937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1233945 + ... + 1236284.

Almost surely, 22890167930 is an apocalyptic number.

2890167930 is an abundant number, since it is smaller than the sum of its proper divisors (5202305550).

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

2890167930 is a wasteful number, since it uses less digits than its factorization.

2890167930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470255 (or 2470252 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2890167930 is about 53760.2820863135. The cubic root of 2890167930 is about 1424.4297182500.

It can be divided in two parts, 2890 and 167930, that added together give a triangular number (170820 = T584).

The spelling of 2890167930 in words is "two billion, eight hundred ninety million, one hundred sixty-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 2470229 4940458 7410687 12351145 14821374 22232061 24702290 32112977 37053435 44464122 64225954 74106870 96338931 111160305 160564885 192677862 222320610 289016793 321129770 481694655 578033586 963389310 1445083965 2890167930