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2120190972 = 2231760117293
BaseRepresentation
bin111111001011111…
…1000101111111100
312110202111212020120
41332113320233330
513320232102342
6550215014540
7103353216534
oct17627705774
95422455216
102120190972
11998879949
124b206a450
1327a33a193
141618244c4
15c6204aec
hex7e5f8bfc

2120190972 has 48 divisors (see below), whose sum is σ = 5247137952. Its totient is φ = 664012800.

The previous prime is 2120190971. The next prime is 2120190973. The reversal of 2120190972 is 2790910212.

It is an interprime number because it is at equal distance from previous prime (2120190971) and next prime (2120190973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120190971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113958 + ... + 131250.

It is an arithmetic number, because the mean of its divisors is an integer number (109315374).

Almost surely, 22120190972 is an apocalyptic number.

It is an amenable number.

2120190972 is an abundant number, since it is smaller than the sum of its proper divisors (3126946980).

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

2120190972 is a wasteful number, since it uses less digits than its factorization.

2120190972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17918 (or 17916 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 2120190972 is about 46045.5315095830. The cubic root of 2120190972 is about 1284.6702302456.

The spelling of 2120190972 in words is "two billion, one hundred twenty million, one hundred ninety thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 601 1202 1803 2404 3606 7212 10217 17293 20434 30651 34586 40868 51879 61302 69172 103758 122604 207516 293981 587962 881943 1175924 1763886 3527772 10393093 20786186 31179279 41572372 62358558 124717116 176682581 353365162 530047743 706730324 1060095486 2120190972