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78135240 = 2335651127
BaseRepresentation
bin1001010100000…
…11111111001000
312110000200101210
410222003333020
5130000311430
611430413120
71636065351
oct452037710
9173020353
1078135240
1140118187
12222011a0
1313259691
14a53cd28
156cd62b0
hex4a83fc8

78135240 has 32 divisors (see below), whose sum is σ = 234406080. Its totient is φ = 20836032.

The previous prime is 78135229. The next prime is 78135241. The reversal of 78135240 is 4253187.

It is a super-2 number, since 2×781352402 = 12210231459715200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 78135198 and 78135207.

It is not an unprimeable number, because it can be changed into a prime (78135241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 325444 + ... + 325683.

It is an arithmetic number, because the mean of its divisors is an integer number (7325190).

Almost surely, 278135240 is an apocalyptic number.

It is an amenable number.

78135240 is an abundant number, since it is smaller than the sum of its proper divisors (156270840).

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

78135240 is a wasteful number, since it uses less digits than its factorization.

78135240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651141 (or 651137 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 78135240 is about 8839.4140077270. The cubic root of 78135240 is about 427.5126633505.

The spelling of 78135240 in words is "seventy-eight million, one hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 651127 1302254 1953381 2604508 3255635 3906762 5209016 6511270 7813524 9766905 13022540 15627048 19533810 26045080 39067620 78135240