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20092160 = 285111427
BaseRepresentation
bin100110010100…
…1010100000000
31101210210021002
41030221110000
520120422120
61554351132
7332531504
oct114512400
941723232
1020092160
11103835a0
12688b4a8
13421636a
142950304
151b6d375
hex1329500

20092160 has 72 divisors (see below), whose sum is σ = 52538976. Its totient is φ = 7301120.

The previous prime is 20092117. The next prime is 20092183. The reversal of 20092160 is 6129002.

It is a super-3 number, since 3×200921603 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13367 + ... + 14793.

It is an arithmetic number, because the mean of its divisors is an integer number (729708).

Almost surely, 220092160 is an apocalyptic number.

20092160 is a gapful number since it is divisible by the number (20) 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 20092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26269488).

20092160 is an abundant number, since it is smaller than the sum of its proper divisors (32446816).

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

20092160 is a wasteful number, since it uses less digits than its factorization.

20092160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 20092160 is about 4482.4279135308. The cubic root of 20092160 is about 271.8580574284.

The spelling of 20092160 in words is "twenty million, ninety-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1427 1760 2816 2854 3520 5708 7040 7135 11416 14080 14270 15697 22832 28540 31394 45664 57080 62788 78485 91328 114160 125576 156970 182656 228320 251152 313940 365312 456640 502304 627880 913280 1004608 1255760 1826560 2009216 2511520 4018432 5023040 10046080 20092160