Search a number
-
+
772060240 = 24571378679
BaseRepresentation
bin101110000001001…
…011010001010000
31222210202201112201
4232001023101100
53040121411430
6204335532544
725063255330
oct5601132120
91883681481
10772060240
11366898316
1219668a154
13c3c4c8a3
14747750c0
1547ba88ca
hex2e04b450

772060240 has 40 divisors (see below), whose sum is σ = 2051475840. Its totient is φ = 264706176.

The previous prime is 772060199. The next prime is 772060249. The reversal of 772060240 is 42060277.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 772060199 and 772060208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772060249) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 688780 + ... + 689899.

It is an arithmetic number, because the mean of its divisors is an integer number (51286896).

Almost surely, 2772060240 is an apocalyptic number.

772060240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

772060240 is an abundant number, since it is smaller than the sum of its proper divisors (1279415600).

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

772060240 is a wasteful number, since it uses less digits than its factorization.

772060240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378699 (or 1378693 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 772060240 is about 27785.9720002738. The cubic root of 772060240 is about 917.3823828916.

The spelling of 772060240 in words is "seven hundred seventy-two million, sixty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1378679 2757358 5514716 6893395 9650753 11029432 13786790 19301506 22058864 27573580 38603012 48253765 55147160 77206024 96507530 110294320 154412048 193015060 386030120 772060240