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78263240 = 235111710463
BaseRepresentation
bin1001010101000…
…11001111001000
312110021011222112
410222203033020
5130013410430
611433241452
71640140466
oct452431710
9173234875
1078263240
11401a5370
1222263288
13132a2a13
14a573836
156d0e195
hex4aa33c8

78263240 has 64 divisors (see below), whose sum is σ = 203420160. Its totient is φ = 26782720.

The previous prime is 78263221. The next prime is 78263243. The reversal of 78263240 is 4236287.

It is a super-2 number, since 2×782632402 = 12250269470595200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78263197 and 78263206.

It is not an unprimeable number, because it can be changed into a prime (78263243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2249 + ... + 12711.

It is an arithmetic number, because the mean of its divisors is an integer number (3178440).

Almost surely, 278263240 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 78263240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101710080).

78263240 is an abundant number, since it is smaller than the sum of its proper divisors (125156920).

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

78263240 is a wasteful number, since it uses less digits than its factorization.

78263240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10502 (or 10498 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 78263240 is about 8846.6513438702. The cubic root of 78263240 is about 427.7459843065.

The spelling of 78263240 in words is "seventy-eight million, two hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 10463 20926 41852 52315 83704 104630 115093 177871 209260 230186 355742 418520 460372 575465 711484 889355 920744 1150930 1422968 1778710 1956581 2301860 3557420 3913162 4603720 7114840 7826324 9782905 15652648 19565810 39131620 78263240