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20342920 = 23513192971
BaseRepresentation
bin100110110011…
…0100010001000
31102021112020111
41031212202020
520201433140
62004004104
7334624543
oct115464210
942245214
1020342920
1110534a34
126990634
1342a3540
1429b785a
151bbc7ea
hex1366888

20342920 has 128 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 6773760.

The previous prime is 20342911. The next prime is 20342921. The reversal of 20342920 is 2924302.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 20342891 and 20342900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20342921) 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, 286485 + ... + 286555.

It is an arithmetic number, because the mean of its divisors is an integer number (425250).

It is a vampire number, since it can be written as 22049230 (with its own digits).

Almost surely, 220342920 is an apocalyptic number.

20342920 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 20342920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

20342920 is an abundant number, since it is smaller than the sum of its proper divisors (34089080).

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

20342920 is a wasteful number, since it uses less digits than its factorization.

20342920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 20342920 is about 4510.3126277454. The cubic root of 20342920 is about 272.9843586596.

The spelling of 20342920 in words is "twenty million, three hundred forty-two thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 29 38 40 52 58 65 71 76 95 104 116 130 142 145 152 190 232 247 260 284 290 355 377 380 494 520 551 568 580 710 754 760 923 988 1102 1160 1235 1349 1420 1508 1846 1885 1976 2059 2204 2470 2698 2755 2840 3016 3692 3770 4118 4408 4615 4940 5396 5510 6745 7163 7384 7540 8236 9230 9880 10295 10792 11020 13490 14326 15080 16472 17537 18460 20590 22040 26767 26980 28652 35074 35815 36920 39121 41180 53534 53960 57304 70148 71630 78242 82360 87685 107068 133835 140296 143260 156484 175370 195605 214136 267670 286520 312968 350740 391210 508573 535340 701480 782420 1017146 1070680 1564840 2034292 2542865 4068584 5085730 10171460 20342920