Search a number
-
+
9201990 = 2357291511
BaseRepresentation
bin100011000110…
…100101000110
3122022111202110
4203012211012
54323430430
6525121450
7141133650
oct43064506
918274673
109201990
115215656
1230b9286
131ba2585
1413176d0
15c1b7b0
hex8c6946

9201990 has 64 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 2029440.

The previous prime is 9201971. The next prime is 9201991. The reversal of 9201990 is 991029.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9201991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5335 + ... + 6845.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 29201990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9201990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

9201990 is an abundant number, since it is smaller than the sum of its proper divisors (16925370).

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

9201990 is a wasteful number, since it uses less digits than its factorization.

9201990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557.

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 9201990 is about 3033.4782016688. The cubic root of 9201990 is about 209.5530175322.

The spelling of 9201990 in words is "nine million, two hundred one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 1511 2030 3022 3045 4533 6090 7555 9066 10577 15110 21154 22665 31731 43819 45330 52885 63462 87638 105770 131457 158655 219095 262914 306733 317310 438190 613466 657285 920199 1314570 1533665 1840398 3067330 4600995 9201990