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2120547376 = 242313742061
BaseRepresentation
bin111111001100100…
…1111110000110000
312110210011222010201
41332121033300300
513320330004001
6550230404544
7103356232603
oct17631176060
95423158121
102120547376
11998aa26a2
124b2200754
1327a43347c
141618b833a
15c6275501
hex7e64fc30

2120547376 has 40 divisors (see below), whose sum is σ = 4318589664. Its totient is φ = 1006748160.

The previous prime is 2120547323. The next prime is 2120547409. The reversal of 2120547376 is 6737450212.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29386 + ... + 71446.

Almost surely, 22120547376 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 2120547376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159294832).

2120547376 is an abundant number, since it is smaller than the sum of its proper divisors (2198042288).

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

2120547376 is a wasteful number, since it uses less digits than its factorization.

2120547376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42229 (or 42223 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 2120547376 is about 46049.4014727662. The cubic root of 2120547376 is about 1284.7422105470.

Adding to 2120547376 its reverse (6737450212), we get a palindrome (8857997588).

The spelling of 2120547376 in words is "two billion, one hundred twenty million, five hundred forty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 23 46 92 137 184 274 368 548 1096 2192 3151 6302 12604 25208 42061 50416 84122 168244 336488 672976 967403 1934806 3869612 5762357 7739224 11524714 15478448 23049428 46098856 92197712 132534211 265068422 530136844 1060273688 2120547376