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96500520 = 23325318647
BaseRepresentation
bin1011100000001…
…11101100101000
320201120201211100
411300013230220
5144201004040
613324201400
72251145424
oct560075450
9221521740
1096500520
114a5212a6
1228399260
1316cb99cc
14cb5db84
158712b30
hex5c07b28

96500520 has 96 divisors (see below), whose sum is σ = 323781120. Its totient is φ = 24900480.

The previous prime is 96500519. The next prime is 96500527. The reversal of 96500520 is 2500569.

96500520 is a `hidden beast` number, since 9 + 650 + 0 + 5 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (96500527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6837 + ... + 15483.

It is an arithmetic number, because the mean of its divisors is an integer number (3372720).

Almost surely, 296500520 is an apocalyptic number.

96500520 is a gapful number since it is divisible by the number (90) 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 96500520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161890560).

96500520 is an abundant number, since it is smaller than the sum of its proper divisors (227280600).

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

96500520 is a wasteful number, since it uses less digits than its factorization.

96500520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8695 (or 8688 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 96500520 is about 9823.4678194617. The cubic root of 96500520 is about 458.6800852205.

It can be divided in two parts, 96500 and 520, that added together give a triangular number (97020 = T440).

The spelling of 96500520 in words is "ninety-six million, five hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 8647 11160 17294 25941 34588 43235 51882 69176 77823 86470 103764 129705 155646 172940 207528 259410 268057 311292 345880 389115 518820 536114 622584 778230 804171 1037640 1072228 1340285 1556460 1608342 2144456 2412513 2680570 3112920 3216684 4020855 4825026 5361140 6433368 8041710 9650052 10722280 12062565 16083420 19300104 24125130 32166840 48250260 96500520