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20329040 = 24559273
BaseRepresentation
bin100110110001…
…1001001010000
31102020211012102
41031203021100
520201012130
62003415532
7334536224
oct115431120
942224172
1020329040
1110525566
1269845a8
13429a124
1429b2784
151bb8645
hex1363250

20329040 has 60 divisors (see below), whose sum is σ = 48738324. Its totient is φ = 7884288.

The previous prime is 20329013. The next prime is 20329061. The reversal of 20329040 is 4092302.

It can be written as a sum of positive squares in 2 ways, for example, as 9412624 + 10916416 = 3068^2 + 3304^2 .

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 11 ways as a sum of consecutive naturals, for example, 278444 + ... + 278516.

Almost surely, 220329040 is an apocalyptic number.

20329040 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 20329040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24369162).

20329040 is an abundant number, since it is smaller than the sum of its proper divisors (28409284).

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

20329040 is an equidigital number, since it uses as much as digits as its factorization.

20329040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 20329040 is about 4508.7736691921. The cubic root of 20329040 is about 272.9222586763.

The spelling of 20329040 in words is "twenty million, three hundred twenty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 73 80 118 146 236 292 295 365 472 584 590 730 944 1168 1180 1460 2360 2920 3481 4307 4720 5840 6962 8614 13924 17228 17405 21535 27848 34456 34810 43070 55696 68912 69620 86140 139240 172280 254113 278480 344560 508226 1016452 1270565 2032904 2541130 4065808 5082260 10164520 20329040