Search a number
-
+
828860120 = 235111883773
BaseRepresentation
bin110001011001110…
…110011011011000
32010202122110022222
4301121312123120
53144142010440
6214125203212
726353123544
oct6131663330
92122573288
10828860120
11395962970
121b1700508
1310294909a
147c11ca24
154cb782b5
hex316766d8

828860120 has 32 divisors (see below), whose sum is σ = 2034475920. Its totient is φ = 301403520.

The previous prime is 828860119. The next prime is 828860147. The reversal of 828860120 is 21068828.

It is a super-3 number, since 3×8288601203 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

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, 941447 + ... + 942326.

Almost surely, 2828860120 is an apocalyptic number.

It is an amenable number.

828860120 is an abundant number, since it is smaller than the sum of its proper divisors (1205615800).

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

828860120 is a wasteful number, since it uses less digits than its factorization.

828860120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883795 (or 1883791 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 828860120 is about 28789.9308786944. The cubic root of 828860120 is about 939.3492251333.

The spelling of 828860120 in words is "eight hundred twenty-eight million, eight hundred sixty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1883773 3767546 7535092 9418865 15070184 18837730 20721503 37675460 41443006 75350920 82886012 103607515 165772024 207215030 414430060 828860120