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96643560 = 233513411511
BaseRepresentation
bin1011100001010…
…10100111101000
320201212000001010
411300222213220
5144220043220
613331223520
72252312436
oct560524750
9221760033
1096643560
114a609812
1228447ba0
1317039b50
14cb99d56
1587401e0
hex5c2a9e8

96643560 has 128 divisors (see below), whose sum is σ = 320060160. Its totient is φ = 23193600.

The previous prime is 96643559. The next prime is 96643583. The reversal of 96643560 is 6534669.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63205 + ... + 64715.

It is an arithmetic number, because the mean of its divisors is an integer number (2500470).

Almost surely, 296643560 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 96643560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160030080).

96643560 is an abundant number, since it is smaller than the sum of its proper divisors (223416600).

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

96643560 is a wasteful number, since it uses less digits than its factorization.

96643560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The square root of 96643560 is about 9830.7456482202. The cubic root of 96643560 is about 458.9066028565.

The spelling of 96643560 in words is "ninety-six million, six hundred forty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 41 52 60 65 78 82 104 120 123 130 156 164 195 205 246 260 312 328 390 410 492 520 533 615 780 820 984 1066 1230 1511 1560 1599 1640 2132 2460 2665 3022 3198 4264 4533 4920 5330 6044 6396 7555 7995 9066 10660 12088 12792 15110 15990 18132 19643 21320 22665 30220 31980 36264 39286 45330 58929 60440 61951 63960 78572 90660 98215 117858 123902 157144 181320 185853 196430 235716 247804 294645 309755 371706 392860 471432 495608 589290 619510 743412 785720 805363 929265 1178580 1239020 1486824 1610726 1858530 2357160 2416089 2478040 3221452 3717060 4026815 4832178 6442904 7434120 8053630 9664356 12080445 16107260 19328712 24160890 32214520 48321780 96643560