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96261840 = 24325133697
BaseRepresentation
bin1011011110011…
…01011011010000
320201010121102100
411233031123100
5144120334330
613315120400
72246132523
oct557153320
9221117370
1096261840
114a378a44
12282a3100
1316c3518c
14cadabba
1586b7060
hex5bcd6d0

96261840 has 60 divisors (see below), whose sum is σ = 323281764. Its totient is φ = 25669632.

The previous prime is 96261839. The next prime is 96261887. The reversal of 96261840 is 4816269.

It can be written as a sum of positive squares in 2 ways, for example, as 18045504 + 78216336 = 4248^2 + 8844^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 96261795 and 96261804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66129 + ... + 67568.

Almost surely, 296261840 is an apocalyptic number.

96261840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96261840 is an abundant number, since it is smaller than the sum of its proper divisors (227019924).

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

96261840 is a wasteful number, since it uses less digits than its factorization.

96261840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133716 (or 133707 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 96261840 is about 9811.3118388929. The cubic root of 96261840 is about 458.3016135257.

The spelling of 96261840 in words is "ninety-six million, two hundred sixty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 133697 267394 401091 534788 668485 802182 1069576 1203273 1336970 1604364 2005455 2139152 2406546 2673940 3208728 4010910 4813092 5347880 6016365 6417456 8021820 9626184 10695760 12032730 16043640 19252368 24065460 32087280 48130920 96261840