Search a number
-
+
68469072 = 2437243677
BaseRepresentation
bin1000001010011…
…00000101010000
311202211120220120
410011030011100
5120012002242
610443310240
71460656200
oct405140520
9152746816
1068469072
1135715911
121ab1b380
1311253a59
149144400
1560271ec
hex414c150

68469072 has 120 divisors (see below), whose sum is σ = 210852576. Its totient is φ = 19079424.

The previous prime is 68469067. The next prime is 68469077. The reversal of 68469072 is 27096486.

It is an interprime number because it is at equal distance from previous prime (68469067) and next prime (68469077).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68469077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100798 + ... + 101474.

Almost surely, 268469072 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 68469072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105426288).

68469072 is an abundant number, since it is smaller than the sum of its proper divisors (142383504).

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

68469072 is a wasteful number, since it uses less digits than its factorization.

68469072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 68469072 is about 8274.6040388649. The cubic root of 68469072 is about 409.1018849760.

The spelling of 68469072 in words is "sixty-eight million, four hundred sixty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 49 56 84 86 98 112 129 147 168 172 196 258 294 301 336 344 392 516 588 602 677 688 784 903 1032 1176 1204 1354 1806 2031 2064 2107 2352 2408 2708 3612 4062 4214 4739 4816 5416 6321 7224 8124 8428 9478 10832 12642 14217 14448 16248 16856 18956 25284 28434 29111 32496 33173 33712 37912 50568 56868 58222 66346 75824 87333 99519 101136 113736 116444 132692 174666 199038 203777 227472 232888 265384 349332 398076 407554 465776 530768 611331 698664 796152 815108 1222662 1397328 1426439 1592304 1630216 2445324 2852878 3260432 4279317 4890648 5705756 8558634 9781296 11411512 17117268 22823024 34234536 68469072