Search a number
-
+
1077075220 = 2251317923143
BaseRepresentation
bin100000000110010…
…1101110100010100
32210001201002102211
41000030231310110
54201212401340
6254513243204
735455662664
oct10014556424
92701632384
101077075220
11502a87611
12260863504
131421b5220
14a30921a4
15648585ea
hex4032dd14

1077075220 has 48 divisors (see below), whose sum is σ = 2449560960. Its totient is φ = 395450496.

The previous prime is 1077075199. The next prime is 1077075221. The reversal of 1077075220 is 225707701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077075221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34969 + ... + 58111.

It is an arithmetic number, because the mean of its divisors is an integer number (51032520).

Almost surely, 21077075220 is an apocalyptic number.

1077075220 is a gapful number since it is divisible by the number (10) 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 1077075220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224780480).

1077075220 is an abundant number, since it is smaller than the sum of its proper divisors (1372485740).

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

1077075220 is a wasteful number, since it uses less digits than its factorization.

1077075220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23344 (or 23342 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 31.

The square root of 1077075220 is about 32818.8241715025. The cubic root of 1077075220 is about 1025.0585633801.

The spelling of 1077075220 in words is "one billion, seventy-seven million, seventy-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 179 260 358 716 895 1790 2327 3580 4654 9308 11635 23143 23270 46286 46540 92572 115715 231430 300859 462860 601718 1203436 1504295 3008590 4142597 6017180 8285194 16570388 20712985 41425970 53853761 82851940 107707522 215415044 269268805 538537610 1077075220