Search a number
-
+
201040992 = 25322924071
BaseRepresentation
bin10111111101110…
…10010001100000
3112000021221101200
423332322101200
5402431302432
631541001200
74660551225
oct1376722140
9460257350
10201040992
11a3534089
12573b3200
1332860089
141c9b394c
15129b2a7c
hexbfba460

201040992 has 72 divisors (see below), whose sum is σ = 591449040. Its totient is φ = 64700160.

The previous prime is 201040991. The next prime is 201041041. The reversal of 201040992 is 299040102.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201040991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3684 + ... + 20387.

It is an arithmetic number, because the mean of its divisors is an integer number (8214570).

Almost surely, 2201040992 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 201040992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295724520).

201040992 is an abundant number, since it is smaller than the sum of its proper divisors (390408048).

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

201040992 is a wasteful number, since it uses less digits than its factorization.

201040992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24116 (or 24105 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 201040992 is about 14178.8924814317. The cubic root of 201040992 is about 585.8164187099.

The spelling of 201040992 in words is "two hundred one million, forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 24071 48142 72213 96284 144426 192568 216639 288852 385136 433278 577704 698059 770272 866556 1155408 1396118 1733112 2094177 2310816 2792236 3466224 4188354 5584472 6282531 6932448 8376708 11168944 12565062 16753416 22337888 25130124 33506832 50260248 67013664 100520496 201040992