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20852480 = 285111481
BaseRepresentation
bin100111110001…
…0111100000000
31110020102020002
41033202330000
520314234410
62022535132
7342146255
oct117427400
943212202
1020852480
1110852860
126b974a8
13442145c
142aab42c
151c6d7a5
hex13e2f00

20852480 has 72 divisors (see below), whose sum is σ = 54525744. Its totient is φ = 7577600.

The previous prime is 20852473. The next prime is 20852501. The reversal of 20852480 is 8425802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13340 + ... + 14820.

It is an arithmetic number, because the mean of its divisors is an integer number (757302).

Almost surely, 220852480 is an apocalyptic number.

20852480 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 20852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27262872).

20852480 is an abundant number, since it is smaller than the sum of its proper divisors (33673264).

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

20852480 is a wasteful number, since it uses less digits than its factorization.

20852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 20852480 is about 4566.4515764431. The cubic root of 20852480 is about 275.2448727982.

The spelling of 20852480 in words is "twenty million, eight hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1481 1760 2816 2962 3520 5924 7040 7405 11848 14080 14810 16291 23696 29620 32582 47392 59240 65164 81455 94784 118480 130328 162910 189568 236960 260656 325820 379136 473920 521312 651640 947840 1042624 1303280 1895680 2085248 2606560 4170496 5213120 10426240 20852480