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96347680 = 25511134211
BaseRepresentation
bin1011011111000…
…10011000100000
320201021222011121
411233202120200
5144131111210
613321022024
72246641012
oct557423040
9221258147
1096347680
114a427490
1228324914
1316c65280
14cb201b2
1586d26da
hex5be2620

96347680 has 96 divisors (see below), whose sum is σ = 267478848. Its totient is φ = 32332800.

The previous prime is 96347677. The next prime is 96347681. The reversal of 96347680 is 8674369.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (96347681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20775 + ... + 24985.

It is an arithmetic number, because the mean of its divisors is an integer number (2786238).

Almost surely, 296347680 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 96347680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133739424).

96347680 is an abundant number, since it is smaller than the sum of its proper divisors (171131168).

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

96347680 is a wasteful number, since it uses less digits than its factorization.

96347680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4250 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 96347680 is about 9815.6854065317. The cubic root of 96347680 is about 458.4378008335.

The spelling of 96347680 in words is "ninety-six million, three hundred forty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 4211 4576 5720 8422 11440 16844 21055 22880 33688 42110 46321 54743 67376 84220 92642 109486 134752 168440 185284 218972 231605 273715 336880 370568 437944 463210 547430 602173 673760 741136 875888 926420 1094860 1204346 1482272 1751776 1852840 2189720 2408692 3010865 3705680 4379440 4817384 6021730 7411360 8758880 9634768 12043460 19269536 24086920 48173840 96347680