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523680640 = 2757216699
BaseRepresentation
bin11111001101101…
…011101110000000
31100111101201210021
4133031223232000
52033030240030
6123544143224
715656132500
oct3715535600
91314351707
10523680640
1124967101a
12127467b14
1384656902
144d79ba00
1530e9497a
hex1f36bb80

523680640 has 96 divisors (see below), whose sum is σ = 1456407000. Its totient is φ = 179536896.

The previous prime is 523680623. The next prime is 523680667. The reversal of 523680640 is 46086325.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 523680596 and 523680605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23011 + ... + 39709.

Almost surely, 2523680640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728203500).

523680640 is an abundant number, since it is smaller than the sum of its proper divisors (932726360).

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

523680640 is a wasteful number, since it uses less digits than its factorization.

523680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16732 (or 16713 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 523680640 is about 22884.0695681516. The cubic root of 523680640 is about 806.0379805060.

The spelling of 523680640 in words is "five hundred twenty-three million, six hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3136 3920 4480 6272 7840 15680 16699 31360 33398 66796 83495 116893 133592 166990 233786 267184 333980 467572 534368 584465 667960 818251 935144 1068736 1168930 1335920 1636502 1870288 2137472 2337860 2671840 3273004 3740576 4091255 4675720 5343680 6546008 7481152 8182510 9351440 10687360 13092016 14962304 16365020 18702880 26184032 32730040 37405760 52368064 65460080 74811520 104736128 130920160 261840320 523680640