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235513740 = 2235711192683
BaseRepresentation
bin11100000100110…
…10011110001100
3121102011100010010
432002122132030
5440242414430
635211513220
75556555660
oct1602323614
9542140103
10235513740
11110a39a60
1266a58810
1339a3cb57
14233c88a0
1515a21cb0
hexe09a78c

235513740 has 192 divisors, whose sum is σ = 865751040. Its totient is φ = 46344960.

The previous prime is 235513739. The next prime is 235513763. The reversal of 235513740 is 47315532.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 235513698 and 235513707.

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 63 ways as a sum of consecutive naturals, for example, 86439 + ... + 89121.

It is an arithmetic number, because the mean of its divisors is an integer number (4509120).

Almost surely, 2235513740 is an apocalyptic number.

235513740 is a gapful number since it is divisible by the number (20) 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 235513740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432875520).

235513740 is an abundant number, since it is smaller than the sum of its proper divisors (630237300).

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

235513740 is a wasteful number, since it uses less digits than its factorization.

235513740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 235513740 is about 15346.4569200842. The cubic root of 235513740 is about 617.5499388658.

The spelling of 235513740 in words is "two hundred thirty-five million, five hundred thirteen thousand, seven hundred forty".