Search a number
-
+
68831520 = 2535193743
BaseRepresentation
bin1000001101001…
…00100100100000
311210112000002120
410012210210200
5120110102040
610455144240
71464025662
oct406444440
9153460076
1068831520
113594315a
121b075080
131134ca14
1491da532
1560997d0
hex41a4920

68831520 has 96 divisors (see below), whose sum is σ = 218236032. Its totient is φ = 18235392.

The previous prime is 68831489. The next prime is 68831527. The reversal of 68831520 is 2513886.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (68831527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92269 + ... + 93011.

It is an arithmetic number, because the mean of its divisors is an integer number (2273292).

Almost surely, 268831520 is an apocalyptic number.

68831520 is a gapful number since it is divisible by the number (60) 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 68831520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109118016).

68831520 is an abundant number, since it is smaller than the sum of its proper divisors (149404512).

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

68831520 is a wasteful number, since it uses less digits than its factorization.

68831520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 68831520 is about 8296.4763604798. The cubic root of 68831520 is about 409.8224890901.

The spelling of 68831520 in words is "sixty-eight million, eight hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 193 240 386 480 579 743 772 965 1158 1486 1544 1930 2229 2316 2895 2972 3088 3715 3860 4458 4632 5790 5944 6176 7430 7720 8916 9264 11145 11580 11888 14860 15440 17832 18528 22290 23160 23776 29720 30880 35664 44580 46320 59440 71328 89160 92640 118880 143399 178320 286798 356640 430197 573596 716995 860394 1147192 1433990 1720788 2150985 2294384 2867980 3441576 4301970 4588768 5735960 6883152 8603940 11471920 13766304 17207880 22943840 34415760 68831520