Search a number
-
+
68421640 = 235734987
BaseRepresentation
bin1000001010000…
…00100000001000
311202202011211211
410011000200020
5120003443030
610442302504
71460401000
oct405004010
9152664754
1068421640
1135693211
121aab7a34
13112382a1
149131000
15601812a
hex4140808

68421640 has 64 divisors (see below), whose sum is σ = 179568000. Its totient is φ = 23454144.

The previous prime is 68421629. The next prime is 68421649. The reversal of 68421640 is 4612486.

It is not an unprimeable number, because it can be changed into a prime (68421649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11227 + ... + 16213.

It is an arithmetic number, because the mean of its divisors is an integer number (2805750).

Almost surely, 268421640 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 68421640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89784000).

68421640 is an abundant number, since it is smaller than the sum of its proper divisors (111146360).

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

68421640 is a wasteful number, since it uses less digits than its factorization.

68421640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 68421640 is about 8271.7374232987. The cubic root of 68421640 is about 409.0073946093.

The spelling of 68421640 in words is "sixty-eight million, four hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 4987 6860 9974 13720 19948 24935 34909 39896 49870 69818 99740 139636 174545 199480 244363 279272 349090 488726 698180 977452 1221815 1396360 1710541 1954904 2443630 3421082 4887260 6842164 8552705 9774520 13684328 17105410 34210820 68421640