Search a number
-
+
80778132 = 22327928403
BaseRepresentation
bin1001101000010…
…01001110010100
312121222221202200
410310021032110
5131134400012
612003204500
72000413521
oct464111624
9177887680
1080778132
1141662896
1223076730
1313973616
14aa2a148
1571593dc
hex4d09394

80778132 has 36 divisors (see below), whose sum is σ = 206781120. Its totient is φ = 26584272.

The previous prime is 80778127. The next prime is 80778133. The reversal of 80778132 is 23187708.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80778133) 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 11 ways as a sum of consecutive naturals, for example, 11358 + ... + 17045.

It is an arithmetic number, because the mean of its divisors is an integer number (5743920).

Almost surely, 280778132 is an apocalyptic number.

It is an amenable number.

80778132 is an abundant number, since it is smaller than the sum of its proper divisors (126002988).

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

80778132 is a wasteful number, since it uses less digits than its factorization.

80778132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28492 (or 28487 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 80778132 is about 8987.6655478495. The cubic root of 80778132 is about 432.2794616664.

The spelling of 80778132 in words is "eighty million, seven hundred seventy-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 28403 56806 85209 113612 170418 255627 340836 511254 1022508 2243837 4487674 6731511 8975348 13463022 20194533 26926044 40389066 80778132