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20880240 = 2435192241
BaseRepresentation
bin100111110100…
…1101101110000
31110021211022020
41033221231300
520321131430
62023311440
7342323223
oct117515560
943254266
1020880240
11108716a7
126bab580
134430c94
142ab75ba
151c76b10
hex13e9b70

20880240 has 120 divisors (see below), whose sum is σ = 68598288. Its totient is φ = 5253120.

The previous prime is 20880191. The next prime is 20880257. The reversal of 20880240 is 4208802.

It is a tau number, because it is divible by the number of its divisors (120).

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 20880240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86520 + ... + 86760.

Almost surely, 220880240 is an apocalyptic number.

20880240 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 20880240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34299144).

20880240 is an abundant number, since it is smaller than the sum of its proper divisors (47718048).

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

20880240 is a wasteful number, since it uses less digits than its factorization.

20880240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 20880240 is about 4569.4901247295. The cubic root of 20880240 is about 275.3669591489.

The spelling of 20880240 in words is "twenty million, eight hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 241 285 304 361 380 456 482 570 722 723 760 912 964 1083 1140 1205 1444 1446 1520 1805 1928 2166 2280 2410 2888 2892 3610 3615 3856 4332 4560 4579 4820 5415 5776 5784 7220 7230 8664 9158 9640 10830 11568 13737 14440 14460 17328 18316 19280 21660 22895 27474 28880 28920 36632 43320 45790 54948 57840 68685 73264 86640 87001 91580 109896 137370 174002 183160 219792 261003 274740 348004 366320 435005 522006 549480 696008 870010 1044012 1098960 1305015 1392016 1740020 2088024 2610030 3480040 4176048 5220060 6960080 10440120 20880240