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20319960 = 2335313541
BaseRepresentation
bin100110110000…
…0111011011000
31102020100202010
41031200323120
520200214320
62003305520
7334500603
oct115407330
942210663
1020319960
1110519761
12697b2a0
134295c5b
1429ad33a
151bb5ae0
hex1360ed8

20319960 has 64 divisors (see below), whose sum is σ = 61267680. Its totient is φ = 5391360.

The previous prime is 20319931. The next prime is 20319989. The reversal of 20319960 is 6991302.

It is an interprime number because it is at equal distance from previous prime (20319931) and next prime (20319989).

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

It is a congruent number.

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, 37290 + ... + 37830.

Almost surely, 220319960 is an apocalyptic number.

20319960 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 20319960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30633840).

20319960 is an abundant number, since it is smaller than the sum of its proper divisors (40947720).

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

20319960 is a wasteful number, since it uses less digits than its factorization.

20319960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 20319960 is about 4507.7666310491. The cubic root of 20319960 is about 272.8816188961.

The spelling of 20319960 in words is "twenty million, three hundred nineteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 313 541 626 939 1082 1252 1565 1623 1878 2164 2504 2705 3130 3246 3756 4328 4695 5410 6260 6492 7512 8115 9390 10820 12520 12984 16230 18780 21640 32460 37560 64920 169333 338666 507999 677332 846665 1015998 1354664 1693330 2031996 2539995 3386660 4063992 5079990 6773320 10159980 20319960