Search a number
-
+
79814140 = 22572233541
BaseRepresentation
bin1001100000111…
…01110111111100
312120011222102021
410300131313330
5130413023030
611530405524
71656260200
oct460356774
9176158367
1079814140
11410645aa
12228908a4
13136c6903
14a858b00
15701897a
hex4c1ddfc

79814140 has 72 divisors (see below), whose sum is σ = 203509152. Its totient is φ = 26167680.

The previous prime is 79814123. The next prime is 79814159. The reversal of 79814140 is 4141897.

It is a junction number, because it is equal to n+sod(n) for n = 79814096 and 79814105.

It is a congruent number.

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, 20770 + ... + 24310.

It is an arithmetic number, because the mean of its divisors is an integer number (2826516).

Almost surely, 279814140 is an apocalyptic number.

79814140 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79814140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101754576).

79814140 is an abundant number, since it is smaller than the sum of its proper divisors (123695012).

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

79814140 is a wasteful number, since it uses less digits than its factorization.

79814140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 79814140 is about 8933.8759785437. The cubic root of 79814140 is about 430.5529932341.

It can be divided in two parts, 7981 and 4140, that added together give a palindrome (12121).

The spelling of 79814140 in words is "seventy-nine million, eight hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 644 805 980 1127 1610 2254 3220 3541 4508 5635 7082 11270 14164 17705 22540 24787 35410 49574 70820 81443 99148 123935 162886 173509 247870 325772 347018 407215 495740 570101 694036 814430 867545 1140202 1628860 1735090 2280404 2850505 3470180 3990707 5701010 7981414 11402020 15962828 19953535 39907070 79814140