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68700416 = 28377253
BaseRepresentation
bin1000001100001…
…00100100000000
311210021100020212
410012010210000
5120041403131
610452253252
71462641521
oct406044400
9153240225
1068700416
1135863704
121b011228
1311305145
1491a4848
156070a2b
hex4184900

68700416 has 36 divisors (see below), whose sum is σ = 140858172. Its totient is φ = 33417216.

The previous prime is 68700413. The next prime is 68700419. The reversal of 68700416 is 61400786.

It is an interprime number because it is at equal distance from previous prime (68700413) and next prime (68700419).

It can be written as a sum of positive squares in 2 ways, for example, as 56310016 + 12390400 = 7504^2 + 3520^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (68700413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5846 + ... + 13098.

It is an arithmetic number, because the mean of its divisors is an integer number (3912727).

Almost surely, 268700416 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 68700416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70429086).

68700416 is an abundant number, since it is smaller than the sum of its proper divisors (72157756).

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

68700416 is an equidigital number, since it uses as much as digits as its factorization.

68700416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7306 (or 7292 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 68700416 is about 8288.5714088738. The cubic root of 68700416 is about 409.5621262181.

The spelling of 68700416 in words is "sixty-eight million, seven hundred thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 2368 4736 7253 9472 14506 29012 58024 116048 232096 268361 464192 536722 928384 1073444 1856768 2146888 4293776 8587552 17175104 34350208 68700416