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20871240 = 23351317787
BaseRepresentation
bin100111110011…
…1100001001000
31110021100221220
41033213201020
520320334430
62023202040
7342255045
oct117474110
943240856
1020871240
1110865965
126ba6320
134429b60
142ab41cc
151c74110
hex13e7848

20871240 has 128 divisors (see below), whose sum is σ = 71487360. Its totient is φ = 4829184.

The previous prime is 20871229. The next prime is 20871251. The reversal of 20871240 is 4217802.

It is an interprime number because it is at equal distance from previous prime (20871229) and next prime (20871251).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20871240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26127 + ... + 26913.

It is an arithmetic number, because the mean of its divisors is an integer number (558495).

Almost surely, 220871240 is an apocalyptic number.

20871240 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 20871240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35743680).

20871240 is an abundant number, since it is smaller than the sum of its proper divisors (50616120).

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

20871240 is a wasteful number, since it uses less digits than its factorization.

20871240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 20871240 is about 4568.5052260012. The cubic root of 20871240 is about 275.3273896996.

The spelling of 20871240 in words is "twenty million, eight hundred seventy-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 17 20 24 26 30 34 39 40 51 52 60 65 68 78 85 102 104 120 130 136 156 170 195 204 221 255 260 312 340 390 408 442 510 520 663 680 780 787 884 1020 1105 1326 1560 1574 1768 2040 2210 2361 2652 3148 3315 3935 4420 4722 5304 6296 6630 7870 8840 9444 10231 11805 13260 13379 15740 18888 20462 23610 26520 26758 30693 31480 40137 40924 47220 51155 53516 61386 66895 80274 81848 94440 102310 107032 122772 133790 153465 160548 173927 200685 204620 245544 267580 306930 321096 347854 401370 409240 521781 535160 613860 695708 802740 869635 1043562 1227720 1391416 1605480 1739270 2087124 2608905 3478540 4174248 5217810 6957080 10435620 20871240