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20879424 = 263343281
BaseRepresentation
bin100111110100…
…1100001000000
31110021210012000
41033221201000
520321120144
62023304000
7342320646
oct117514100
943253160
1020879424
1110871025
126bab000
1344307b7
142ab7196
151c76769
hex13e9840

20879424 has 112 divisors (see below), whose sum is σ = 63032640. Its totient is φ = 6773760.

The previous prime is 20879401. The next prime is 20879431. The reversal of 20879424 is 42497802.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 74164 + ... + 74444.

Almost surely, 220879424 is an apocalyptic number.

20879424 is a gapful number since it is divisible by the number (24) 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 20879424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31516320).

20879424 is an abundant number, since it is smaller than the sum of its proper divisors (42153216).

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

20879424 is a wasteful number, since it uses less digits than its factorization.

20879424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20879424 is about 4569.4008359959. The cubic root of 20879424 is about 275.3633719876.

It can be divided in two parts, 2087942 and 4, that added together give a triangular number (2087946 = T2043).

The spelling of 20879424 in words is "twenty million, eight hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 129 144 172 192 216 258 281 288 344 387 432 516 562 576 688 774 843 864 1032 1124 1161 1376 1548 1686 1728 2064 2248 2322 2529 2752 3096 3372 4128 4496 4644 5058 6192 6744 7587 8256 8992 9288 10116 12083 12384 13488 15174 17984 18576 20232 24166 24768 26976 30348 36249 37152 40464 48332 53952 60696 72498 74304 80928 96664 108747 121392 144996 161856 193328 217494 242784 289992 326241 386656 434988 485568 579984 652482 773312 869976 1159968 1304964 1739952 2319936 2609928 3479904 5219856 6959808 10439712 20879424