Search a number
-
+
19202920 = 23511192297
BaseRepresentation
bin100100101000…
…0001101101000
31100010121110021
41021100031220
514403443140
61523330224
7322136122
oct111201550
940117407
1019202920
11a926490
126520974
133c94699
14279c212
151a44b4a
hex1250368

19202920 has 64 divisors (see below), whose sum is σ = 49636800. Its totient is φ = 6612480.

The previous prime is 19202851. The next prime is 19202947. The reversal of 19202920 is 2920291.

It is a super-3 number, since 3×192029203 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7212 + ... + 9508.

It is an arithmetic number, because the mean of its divisors is an integer number (775575).

Almost surely, 219202920 is an apocalyptic number.

19202920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19202920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24818400).

19202920 is an abundant number, since it is smaller than the sum of its proper divisors (30433880).

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

19202920 is a wasteful number, since it uses less digits than its factorization.

19202920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 19202920 is about 4382.1136452630. The cubic root of 19202920 is about 267.7867539574.

The spelling of 19202920 in words is "nineteen million, two hundred two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 2297 4180 4594 8360 9188 11485 18376 22970 25267 43643 45940 50534 87286 91880 101068 126335 174572 202136 218215 252670 349144 436430 480073 505340 872860 960146 1010680 1745720 1920292 2400365 3840584 4800730 9601460 19202920