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68950840 = 23572127277
BaseRepresentation
bin1000001110000…
…01101100111000
311210202001202211
410013001230320
5120122411330
610501504504
71465033600
oct407015470
9153661684
1068950840
1135a14872
121b112134
131139211a
14922bc00
1560bed2a
hex41c1b38

68950840 has 96 divisors (see below), whose sum is σ = 182545920. Its totient is φ = 23369472.

The previous prime is 68950837. The next prime is 68950841. The reversal of 68950840 is 4805986.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 68950793 and 68950802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68950841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248782 + ... + 249058.

It is an arithmetic number, because the mean of its divisors is an integer number (1901520).

Almost surely, 268950840 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 68950840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91272960).

68950840 is an abundant number, since it is smaller than the sum of its proper divisors (113595080).

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

68950840 is a wasteful number, since it uses less digits than its factorization.

68950840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 68950840 is about 8303.6642514013. The cubic root of 68950840 is about 410.0591625908.

It can be divided in two parts, 689 and 50840, that added together give a square (51529 = 2272).

The spelling of 68950840 in words is "sixty-eight million, nine hundred fifty thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 127 140 196 245 254 277 280 392 490 508 554 635 889 980 1016 1108 1270 1385 1778 1939 1960 2216 2540 2770 3556 3878 4445 5080 5540 6223 7112 7756 8890 9695 11080 12446 13573 15512 17780 19390 24892 27146 31115 35179 35560 38780 49784 54292 62230 67865 70358 77560 108584 124460 135730 140716 175895 246253 248920 271460 281432 351790 492506 542920 703580 985012 1231265 1407160 1723771 1970024 2462530 3447542 4925060 6895084 8618855 9850120 13790168 17237710 34475420 68950840