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20764240 = 245725297
BaseRepresentation
bin100111100110…
…1011001010000
31110001221011221
41033031121100
520303423430
62021014424
7341331100
oct117153120
943057157
1020764240
11107a2532
126b54414
1343c0243
142a87200
151c5257a
hex13cd650

20764240 has 60 divisors (see below), whose sum is σ = 56169396. Its totient is φ = 7117824.

The previous prime is 20764231. The next prime is 20764243. The reversal of 20764240 is 4246702.

20764240 = T896 + T897 + ... + T944.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 8317456 = 3528^2 + 2884^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20764243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1272 + ... + 6568.

Almost surely, 220764240 is an apocalyptic number.

20764240 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 20764240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28084698).

20764240 is an abundant number, since it is smaller than the sum of its proper divisors (35405156).

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

20764240 is a wasteful number, since it uses less digits than its factorization.

20764240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5324 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 20764240 is about 4556.7795645609. The cubic root of 20764240 is about 274.8560789621.

The spelling of 20764240 in words is "twenty million, seven hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 5297 10594 21188 26485 37079 42376 52970 74158 84752 105940 148316 185395 211880 259553 296632 370790 423760 519106 593264 741580 1038212 1297765 1483160 2076424 2595530 2966320 4152848 5191060 10382120 20764240