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96204240 = 24335114049
BaseRepresentation
bin1011011101111…
…11010111010000
320201000200102000
411232333113100
5144112013430
613313554000
72245502556
oct556772720
9221020360
1096204240
114a339740
1228275900
1316c14bb2
14cac3bd6
1586a4e60
hex5bbf5d0

96204240 has 160 divisors (see below), whose sum is σ = 361584000. Its totient is φ = 23316480.

The previous prime is 96204211. The next prime is 96204247. The reversal of 96204240 is 4240269.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96204247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21736 + ... + 25784.

It is an arithmetic number, because the mean of its divisors is an integer number (2259900).

Almost surely, 296204240 is an apocalyptic number.

96204240 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 96204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180792000).

96204240 is an abundant number, since it is smaller than the sum of its proper divisors (265379760).

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

96204240 is a wasteful number, since it uses less digits than its factorization.

96204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4082 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 96204240 is about 9808.3760123682. The cubic root of 96204240 is about 458.2101842879.

The spelling of 96204240 in words is "ninety-six million, two hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4049 4752 5940 7920 8098 11880 12147 16196 20245 23760 24294 32392 36441 40490 44539 48588 60735 64784 72882 80980 89078 97176 109323 121470 133617 145764 161960 178156 182205 194352 218646 222695 242940 267234 291528 323920 356312 364410 400851 437292 445390 485880 534468 546615 583056 668085 712624 728820 801702 874584 890780 971760 1068936 1093230 1202553 1336170 1457640 1603404 1749168 1781560 2004255 2137872 2186460 2405106 2672340 2915280 3206808 3563120 4008510 4372920 4810212 5344680 6012765 6413616 8017020 8745840 9620424 10689360 12025530 16034040 19240848 24051060 32068080 48102120 96204240