Search a number
-
+
2073071961 = 3450592
BaseRepresentation
bin111101110010000…
…1001000101011001
312100110211222010000
41323210021011121
513221201300321
6541413043213
7102241551402
oct17344110531
95313758100
102073071961
11974216714
1249a326509
132706501cc
1415947a9a9
15c1ee8826
hex7b909159

2073071961 has 15 divisors (see below), whose sum is σ = 3097423461. Its totient is φ = 1381774788.

The previous prime is 2073071951. The next prime is 2073071963. The reversal of 2073071961 is 1691703702.

It is a happy number.

The square root of 2073071961 is 45531.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 2073071961 - 215 = 2073039193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2073071963) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 407250 + ... + 412308.

Almost surely, 22073071961 is an apocalyptic number.

2073071961 is the 45531-st square number.

2073071961 is the 22766-th centered octagonal number.

It is an amenable number.

2073071961 is a deficient number, since it is larger than the sum of its proper divisors (1024351500).

2073071961 is an frugal number, since it uses more digits than its factorization.

2073071961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10130 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The cubic root of 2073071961 is about 1275.0820320923.

Multiplying 2073071961 by its sum of digits (36), we get a square (74630590596 = 2731862).

Multiplying 2073071961 by its product of nonzero digits (15876), we get a square (32912090452836 = 57369062).

The spelling of 2073071961 in words is "two billion, seventy-three million, seventy-one thousand, nine hundred sixty-one".

Divisors: 1 3 9 27 81 5059 15177 45531 136593 409779 25593481 76780443 230341329 691023987 2073071961