Search a number
-
+
78227120 = 2451098971
BaseRepresentation
bin1001010100110…
…10011010110000
312110012100102202
410222122122300
5130011231440
611432402332
71636630256
oct452323260
9173170382
1078227120
1140180214
12222463a8
131328c44a
14a5645d6
156d03615
hex4a9a6b0

78227120 has 40 divisors (see below), whose sum is σ = 183567120. Its totient is φ = 31000320.

The previous prime is 78227119. The next prime is 78227147. The reversal of 78227120 is 2172287.

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

It is a super-2 number, since 2×782271202 = 12238964606988800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4235 + ... + 13205.

It is an arithmetic number, because the mean of its divisors is an integer number (4589178).

Almost surely, 278227120 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 78227120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91783560).

78227120 is an abundant number, since it is smaller than the sum of its proper divisors (105340000).

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

78227120 is a wasteful number, since it uses less digits than its factorization.

78227120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9093 (or 9087 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 78227120 is about 8844.6096578651. The cubic root of 78227120 is about 427.6801698304.

The spelling of 78227120 in words is "seventy-eight million, two hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1744 2180 4360 8720 8971 17942 35884 44855 71768 89710 143536 179420 358840 717680 977839 1955678 3911356 4889195 7822712 9778390 15645424 19556780 39113560 78227120