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534750040 = 235115920599
BaseRepresentation
bin11111110111111…
…010001101011000
31101021020010011001
4133313322031120
52043344000130
6125021314344
716152205006
oct3767721530
91337203131
10534750040
11254941690
1212b1059b4
1386a31156
145103da76
1531e2e6ca
hex1fdfa358

534750040 has 64 divisors (see below), whose sum is σ = 1334880000. Its totient is φ = 191149440.

The previous prime is 534750017. The next prime is 534750043. The reversal of 534750040 is 40057435.

It is a junction number, because it is equal to n+sod(n) for n = 534749990 and 534750008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534750043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15661 + ... + 36259.

It is an arithmetic number, because the mean of its divisors is an integer number (20857500).

Almost surely, 2534750040 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 534750040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667440000).

534750040 is an abundant number, since it is smaller than the sum of its proper divisors (800129960).

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

534750040 is a wasteful number, since it uses less digits than its factorization.

534750040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20680 (or 20676 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 534750040 is about 23124.6630245718. The cubic root of 534750040 is about 811.6776892242.

The spelling of 534750040 in words is "five hundred thirty-four million, seven hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 220 236 295 440 472 590 649 1180 1298 2360 2596 3245 5192 6490 12980 20599 25960 41198 82396 102995 164792 205990 226589 411980 453178 823960 906356 1132945 1215341 1812712 2265890 2430682 4531780 4861364 6076705 9063560 9722728 12153410 13368751 24306820 26737502 48613640 53475004 66843755 106950008 133687510 267375020 534750040