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78996240 = 24325109717
BaseRepresentation
bin1001011010101…
…10001100010000
312111122102110200
410231112030100
5130210334430
611501055200
71646312511
oct455261420
9174572420
1078996240
1140656054
1222557500
131349b54b
14a6c4a08
156e06460
hex4b56310

78996240 has 60 divisors (see below), whose sum is σ = 265298124. Its totient is φ = 21065472.

The previous prime is 78996223. The next prime is 78996257. The reversal of 78996240 is 4269987.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78996223) and next prime (78996257).

It can be written as a sum of positive squares in 2 ways, for example, as 37161216 + 41835024 = 6096^2 + 6468^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 54139 + ... + 55578.

Almost surely, 278996240 is an apocalyptic number.

It is an amenable number.

78996240 is an abundant number, since it is smaller than the sum of its proper divisors (186301884).

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

78996240 is a wasteful number, since it uses less digits than its factorization.

78996240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109736 (or 109727 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 78996240 is about 8887.9828982734. The cubic root of 78996240 is about 429.0772351853.

The spelling of 78996240 in words is "seventy-eight million, nine hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 109717 219434 329151 438868 548585 658302 877736 987453 1097170 1316604 1645755 1755472 1974906 2194340 2633208 3291510 3949812 4388680 4937265 5266416 6583020 7899624 8777360 9874530 13166040 15799248 19749060 26332080 39498120 78996240