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534416520 = 233511894549
BaseRepresentation
bin11111110110101…
…000110010001000
31101020121011122110
4133312220302020
52043302312040
6125010222320
716146315441
oct3766506210
91336534573
10534416520
11254734050
1212ab849a0
13869453c1
1450d942c8
1531db5980
hex1fda8c88

534416520 has 128 divisors (see below), whose sum is σ = 1769040000. Its totient is φ = 128071680.

The previous prime is 534416479. The next prime is 534416537. The reversal of 534416520 is 25614435.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115206 + ... + 119754.

It is an arithmetic number, because the mean of its divisors is an integer number (13820625).

Almost surely, 2534416520 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 534416520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884520000).

534416520 is an abundant number, since it is smaller than the sum of its proper divisors (1234623480).

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

534416520 is a wasteful number, since it uses less digits than its factorization.

534416520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 534416520 is about 23117.4505514773. The cubic root of 534416520 is about 811.5089081599.

The spelling of 534416520 in words is "five hundred thirty-four million, four hundred sixteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 89 110 120 132 165 178 220 264 267 330 356 440 445 534 660 712 890 979 1068 1320 1335 1780 1958 2136 2670 2937 3560 3916 4549 4895 5340 5874 7832 9098 9790 10680 11748 13647 14685 18196 19580 22745 23496 27294 29370 36392 39160 45490 50039 54588 58740 68235 90980 100078 109176 117480 136470 150117 181960 200156 250195 272940 300234 400312 404861 500390 545880 600468 750585 809722 1000780 1200936 1214583 1501170 1619444 2001560 2024305 2429166 3002340 3238888 4048610 4453471 4858332 6004680 6072915 8097220 8906942 9716664 12145830 13360413 16194440 17813884 22267355 24291660 26720826 35627768 44534710 48583320 53441652 66802065 89069420 106883304 133604130 178138840 267208260 534416520