Search a number
-
+
68815536 = 24331103449
BaseRepresentation
bin1000001101000…
…00101010110000
311210111012011120
410012200222300
5120104044121
610454542240
71463631246
oct406405260
9153435146
1068815536
1135932149
121b067980
131134566a
1491d4796
156094bc6
hex41a0ab0

68815536 has 80 divisors (see below), whose sum is σ = 185702400. Its totient is φ = 21934080.

The previous prime is 68815519. The next prime is 68815553. The reversal of 68815536 is 63551886.

It is an interprime number because it is at equal distance from previous prime (68815519) and next prime (68815553).

It is a plaindrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153040 + ... + 153488.

It is an arithmetic number, because the mean of its divisors is an integer number (2321280).

Almost surely, 268815536 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 68815536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92851200).

68815536 is an abundant number, since it is smaller than the sum of its proper divisors (116886864).

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

68815536 is a wasteful number, since it uses less digits than its factorization.

68815536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 588 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 68815536 is about 8295.5130040281. The cubic root of 68815536 is about 409.7907637517.

The spelling of 68815536 in words is "sixty-eight million, eight hundred fifteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 103 124 186 206 248 309 372 412 449 496 618 744 824 898 1236 1347 1488 1648 1796 2472 2694 3193 3592 4944 5388 6386 7184 9579 10776 12772 13919 19158 21552 25544 27838 38316 41757 46247 51088 55676 76632 83514 92494 111352 138741 153264 167028 184988 222704 277482 334056 369976 554964 668112 739952 1109928 1433657 2219856 2867314 4300971 5734628 8601942 11469256 17203884 22938512 34407768 68815536