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20715520 = 21157172
BaseRepresentation
bin100111100000…
…1100000000000
31102222110100111
41033001200000
520300344040
62020001104
7341036050
oct117014000
942873314
1020715520
1110769971
126b30194
1343a4007
142a73560
151c42dea
hex13c1800

20715520 has 144 divisors (see below), whose sum is σ = 60343920. Its totient is φ = 6684672.

The previous prime is 20715517. The next prime is 20715547. The reversal of 20715520 is 2551702.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20715491 and 20715500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1218552 + ... + 1218568.

It is an arithmetic number, because the mean of its divisors is an integer number (419055).

Almost surely, 220715520 is an apocalyptic number.

20715520 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 20715520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30171960).

20715520 is an abundant number, since it is smaller than the sum of its proper divisors (39628400).

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

20715520 is an equidigital number, since it uses as much as digits as its factorization.

20715520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 20715520 is about 4551.4305443454. The cubic root of 20715520 is about 274.6409418624.

The spelling of 20715520 in words is "twenty million, seven hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 256 272 280 289 320 340 448 476 512 544 560 578 595 640 680 896 952 1024 1088 1120 1156 1190 1280 1360 1445 1792 1904 2023 2048 2176 2240 2312 2380 2560 2720 2890 3584 3808 4046 4352 4480 4624 4760 5120 5440 5780 7168 7616 8092 8704 8960 9248 9520 10115 10240 10880 11560 14336 15232 16184 17408 17920 18496 19040 20230 21760 23120 30464 32368 34816 35840 36992 38080 40460 43520 46240 60928 64736 71680 73984 76160 80920 87040 92480 121856 129472 147968 152320 161840 174080 184960 243712 258944 295936 304640 323680 369920 517888 591872 609280 647360 739840 1035776 1218560 1294720 1479680 2071552 2589440 2959360 4143104 5178880 10357760 20715520