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96735240 = 233257231669
BaseRepresentation
bin1011100010000…
…01000000001000
320202000122210200
411301001000020
5144231011430
613333212200
72253143640
oct561010010
9222018720
1096735240
114a671688
1228491060
131706c7b4
14cbc1520
15875c460
hex5c41008

96735240 has 192 divisors, whose sum is σ = 375148800. Its totient is φ = 21136896.

The previous prime is 96735239. The next prime is 96735311. The reversal of 96735240 is 4253769.

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 = 96735195 and 96735204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57126 + ... + 58794.

It is an arithmetic number, because the mean of its divisors is an integer number (1953900).

Almost surely, 296735240 is an apocalyptic number.

96735240 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 96735240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187574400).

96735240 is an abundant number, since it is smaller than the sum of its proper divisors (278413560).

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

96735240 is a wasteful number, since it uses less digits than its factorization.

96735240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 96735240 is about 9835.4074648690. The cubic root of 96735240 is about 459.0516694650.

The spelling of 96735240 in words is "ninety-six million, seven hundred thirty-five thousand, two hundred forty".