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20786240 = 265173821
BaseRepresentation
bin100111101001…
…0110001000000
31110010001100202
41033102301000
520310124430
62021304332
7341452166
oct117226100
943101322
1020786240
1110808012
126b650a8
1343ca267
142a91236
151c58d45
hex13d2c40

20786240 has 56 divisors (see below), whose sum is σ = 52422552. Its totient is φ = 7823360.

The previous prime is 20786219. The next prime is 20786251. The reversal of 20786240 is 4268702.

It can be written as a sum of positive squares in 4 ways, for example, as 8620096 + 12166144 = 2936^2 + 3488^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3530 + ... + 7350.

It is an arithmetic number, because the mean of its divisors is an integer number (936117).

Almost surely, 220786240 is an apocalyptic number.

20786240 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 20786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26211276).

20786240 is an abundant number, since it is smaller than the sum of its proper divisors (31636312).

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

20786240 is a wasteful number, since it uses less digits than its factorization.

20786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 20786240 is about 4559.1929110315. The cubic root of 20786240 is about 274.9531159743.

The spelling of 20786240 in words is "twenty million, seven hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 3821 5440 7642 15284 19105 30568 38210 61136 64957 76420 122272 129914 152840 244544 259828 305680 324785 519656 611360 649570 1039312 1222720 1299140 2078624 2598280 4157248 5196560 10393120 20786240