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23084040 = 2335727481
BaseRepresentation
bin101100000001…
…1110000001000
31121102210100110
41120003300020
521402142130
62142434320
7400132260
oct130036010
947383313
1023084040
1112037421
1278929a0
134a230c5
1430cc7a0
15205eab0
hex1603c08

23084040 has 64 divisors (see below), whose sum is σ = 79148160. Its totient is φ = 5276160.

The previous prime is 23084023. The next prime is 23084053. The reversal of 23084040 is 4048032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 23083998 and 23084016.

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, 12901 + ... + 14580.

It is an arithmetic number, because the mean of its divisors is an integer number (1236690).

Almost surely, 223084040 is an apocalyptic number.

23084040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23084040 is an abundant number, since it is smaller than the sum of its proper divisors (56064120).

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

23084040 is a wasteful number, since it uses less digits than its factorization.

23084040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27502 (or 27498 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 23084040 is about 4804.5853098889. The cubic root of 23084040 is about 284.7326517201.

The spelling of 23084040 in words is "twenty-three million, eighty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 27481 54962 82443 109924 137405 164886 192367 219848 274810 329772 384734 412215 549620 577101 659544 769468 824430 961835 1099240 1154202 1538936 1648860 1923670 2308404 2885505 3297720 3847340 4616808 5771010 7694680 11542020 23084040