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96830500 = 22531314897
BaseRepresentation
bin1011100010110…
…00010000100100
320202012111110211
411301120100210
5144242034000
613335225204
72254021444
oct561302044
9222174424
1096830500
114a727208
1228518204
13170a3c70
14cc08124
15877a7ba
hex5c58424

96830500 has 48 divisors (see below), whose sum is σ = 227760624. Its totient is φ = 35750400.

The previous prime is 96830473. The next prime is 96830501. The reversal of 96830500 is 503869.

It can be written as a sum of positive squares in 8 ways, for example, as 25563136 + 71267364 = 5056^2 + 8442^2 .

It is a super-2 number, since 2×968305002 = 18752291460500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96830501) 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, 949 + ... + 13948.

It is an arithmetic number, because the mean of its divisors is an integer number (4745013).

Almost surely, 296830500 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 96830500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113880312).

96830500 is an abundant number, since it is smaller than the sum of its proper divisors (130930124).

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

96830500 is a wasteful number, since it uses less digits than its factorization.

96830500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14929 (or 14917 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 96830500 is about 9840.2489805899. The cubic root of 96830500 is about 459.2023036970.

The spelling of 96830500 in words is "ninety-six million, eight hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 14897 29794 59588 74485 148970 193661 297940 372425 387322 744850 774644 968305 1489700 1862125 1936610 3724250 3873220 4841525 7448500 9683050 19366100 24207625 48415250 96830500