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78812140 = 225112291123
BaseRepresentation
bin1001011001010…
…01001111101100
312111022001221011
410230221033230
5130133442030
611453115004
71644615001
oct454511754
9174261834
1078812140
114053a800
1222488a64
1313435804
14a6778a8
156dbbb2a
hex4b293ec

78812140 has 72 divisors (see below), whose sum is σ = 188359920. Its totient is φ = 27646080.

The previous prime is 78812131. The next prime is 78812161. The reversal of 78812140 is 4121887.

It is a super-2 number, since 2×788121402 = 12422706822759200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69619 + ... + 70741.

It is an arithmetic number, because the mean of its divisors is an integer number (2616110).

Almost surely, 278812140 is an apocalyptic number.

78812140 is the 5615-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78812140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94179960).

78812140 is an abundant number, since it is smaller than the sum of its proper divisors (109547780).

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

78812140 is a wasteful number, since it uses less digits than its factorization.

78812140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 78812140 is about 8877.6201766014. The cubic root of 78812140 is about 428.7436557525.

It can be divided in two parts, 78 and 812140, that added together give a palindrome (812218).

The spelling of 78812140 in words is "seventy-eight million, eight hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 121 145 220 242 290 319 484 580 605 638 1123 1210 1276 1595 2246 2420 3190 3509 4492 5615 6380 7018 11230 12353 14036 17545 22460 24706 32567 35090 49412 61765 65134 70180 123530 130268 135883 162835 247060 271766 325670 358237 543532 651340 679415 716474 1358830 1432948 1791185 2717660 3582370 3940607 7164740 7881214 15762428 19703035 39406070 78812140