Search a number
-
+
2073164832 = 253226832
BaseRepresentation
bin111101110010001…
…1111110000100000
312100111000200111200
41323210133300200
513221212233312
6541415041200
7102242416224
oct17344376040
95314020450
102073164832
1197427a472
1249a370200
1327068356b
141594a2784
15c20160dc
hex7b91fc20

2073164832 has 54 divisors (see below), whose sum is σ = 5897760687. Its totient is φ = 690797376.

The previous prime is 2073164827. The next prime is 2073164851. The reversal of 2073164832 is 2384613702.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2073164832 is a `hidden beast` number, since 2 + 0 + 7 + 3 + 1 + 648 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1036582416 + 1036582416 = 32196^2 + 32196^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=32196.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 771363 + ... + 774045.

Almost surely, 22073164832 is an apocalyptic number.

It is an amenable number.

2073164832 is an abundant number, since it is smaller than the sum of its proper divisors (3824595855).

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

2073164832 is an frugal number, since it uses more digits than its factorization.

2073164832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5382 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2073164832 is about 45532.0198541642. The cubic root of 2073164832 is about 1275.1010724950.

The spelling of 2073164832 in words is "two billion, seventy-three million, one hundred sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2683 5366 8049 10732 16098 21464 24147 32196 42928 48294 64392 85856 96588 128784 193176 257568 386352 772704 7198489 14396978 21595467 28793956 43190934 57587912 64786401 86381868 115175824 129572802 172763736 230351648 259145604 345527472 518291208 691054944 1036582416 2073164832