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78246020 = 2255397761
BaseRepresentation
bin1001010100111…
…11000010000100
312110020022100202
410222133002010
5130012333040
611433030032
71640036336
oct452370204
9173208322
1078246020
1140193436
1222255318
1313297c28
14a56b456
156d09015
hex4a9f084

78246020 has 48 divisors (see below), whose sum is σ = 169365168. Its totient is φ = 30351360.

The previous prime is 78246001. The next prime is 78246029. The reversal of 78246020 is 2064287.

It can be written as a sum of positive squares in 8 ways, for example, as 9156676 + 69089344 = 3026^2 + 8312^2 .

It is a super-2 number, since 2×782460202 = 12244879291680800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78246029) 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 15 ways as a sum of consecutive naturals, for example, 102440 + ... + 103200.

It is an arithmetic number, because the mean of its divisors is an integer number (3528441).

Almost surely, 278246020 is an apocalyptic number.

It is an amenable number.

78246020 is an abundant number, since it is smaller than the sum of its proper divisors (91119148).

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

78246020 is a wasteful number, since it uses less digits than its factorization.

78246020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 78246020 is about 8845.6780407157. The cubic root of 78246020 is about 427.7146101640.

It can be divided in two parts, 7 and 8246020, that multiplied together give a triangular number (57722140 = T10744).

The spelling of 78246020 in words is "seventy-eight million, two hundred forty-six thousand, twenty".

Divisors: 1 2 4 5 10 20 53 97 106 194 212 265 388 485 530 761 970 1060 1522 1940 3044 3805 5141 7610 10282 15220 20564 25705 40333 51410 73817 80666 102820 147634 161332 201665 295268 369085 403330 738170 806660 1476340 3912301 7824602 15649204 19561505 39123010 78246020