Search a number
-
+
68827400 = 23523771131
BaseRepresentation
bin1000001101000…
…11100100001000
311210111210102222
410012203210020
5120104434100
610455113212
71464010655
oct406434410
9153453388
1068827400
1135940054
121b072808
131134ab95
1491d8c2c
156098485
hex41a3908

68827400 has 96 divisors (see below), whose sum is σ = 167935680. Its totient is φ = 26208000.

The previous prime is 68827361. The next prime is 68827403. The reversal of 68827400 is 472886.

It is not an unprimeable number, because it can be changed into a prime (68827403) 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, 525335 + ... + 525465.

It is an arithmetic number, because the mean of its divisors is an integer number (1749330).

Almost surely, 268827400 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 68827400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83967840).

68827400 is an abundant number, since it is smaller than the sum of its proper divisors (99108280).

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

68827400 is a wasteful number, since it uses less digits than its factorization.

68827400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 68827400 is about 8296.2280585818. The cubic root of 68827400 is about 409.8143121079.

The spelling of 68827400 in words is "sixty-eight million, eight hundred twenty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 71 74 100 131 142 148 185 200 262 284 296 355 370 524 568 655 710 740 925 1048 1310 1420 1480 1775 1850 2620 2627 2840 3275 3550 3700 4847 5240 5254 6550 7100 7400 9301 9694 10508 13100 13135 14200 18602 19388 21016 24235 26200 26270 37204 38776 46505 48470 52540 65675 74408 93010 96940 105080 121175 131350 186020 193880 232525 242350 262700 344137 372040 465050 484700 525400 688274 930100 969400 1376548 1720685 1860200 2753096 3441370 6882740 8603425 13765480 17206850 34413700 68827400