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20314920 = 23353143127
BaseRepresentation
bin100110101111…
…1101100101000
31102020002211110
41031133230220
520200034140
62003230320
7334450113
oct115375450
942202743
1020314920
111051599a
1269783a0
134293882
1429ab57a
151bb4380
hex135fb28

20314920 has 128 divisors (see below), whose sum is σ = 64880640. Its totient is φ = 5080320.

The previous prime is 20314919. The next prime is 20314927. The reversal of 20314920 is 2941302.

It is not an unprimeable number, because it can be changed into a prime (20314927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159897 + ... + 160023.

It is an arithmetic number, because the mean of its divisors is an integer number (506880).

Almost surely, 220314920 is an apocalyptic number.

20314920 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 20314920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32440320).

20314920 is an abundant number, since it is smaller than the sum of its proper divisors (44565720).

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

20314920 is a wasteful number, since it uses less digits than its factorization.

20314920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 20314920 is about 4507.2075612290. The cubic root of 20314920 is about 272.8590559074.

The spelling of 20314920 in words is "twenty million, three hundred fourteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 43 60 62 86 93 120 124 127 129 155 172 186 215 248 254 258 310 344 372 381 430 465 508 516 620 635 645 744 762 860 930 1016 1032 1240 1270 1290 1333 1524 1720 1860 1905 2540 2580 2666 3048 3720 3810 3937 3999 5080 5160 5332 5461 6665 7620 7874 7998 10664 10922 11811 13330 15240 15748 15996 16383 19685 19995 21844 23622 26660 27305 31496 31992 32766 39370 39990 43688 47244 53320 54610 59055 65532 78740 79980 81915 94488 109220 118110 131064 157480 159960 163830 169291 218440 236220 327660 338582 472440 507873 655320 677164 846455 1015746 1354328 1692910 2031492 2539365 3385820 4062984 5078730 6771640 10157460 20314920