Search a number
-
+
1166463620 = 225722774297
BaseRepresentation
bin100010110000110…
…1101001010000100
310000021220111021022
41011201231022010
54342103313440
6311425210312
740622530400
oct10541551204
93007814238
101166463620
11549490423
12286790998
1315788197a
14b0cc0100
156c613cb5
hex4586d284

1166463620 has 72 divisors (see below), whose sum is σ = 2860456536. Its totient is φ = 398393856.

The previous prime is 1166463611. The next prime is 1166463667. The reversal of 1166463620 is 263646611.

It can be written as a sum of positive squares in 4 ways, for example, as 29964676 + 1136498944 = 5474^2 + 33712^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269312 + ... + 273608.

It is an arithmetic number, because the mean of its divisors is an integer number (39728563).

Almost surely, 21166463620 is an apocalyptic number.

1166463620 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 1166463620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430228268).

1166463620 is an abundant number, since it is smaller than the sum of its proper divisors (1693992916).

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

1166463620 is a wasteful number, since it uses less digits than its factorization.

1166463620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 1166463620 is about 34153.5301250105. The cubic root of 1166463620 is about 1052.6655238869.

The spelling of 1166463620 in words is "one billion, one hundred sixty-six million, four hundred sixty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 277 490 554 980 1108 1385 1939 2770 3878 4297 5540 7756 8594 9695 13573 17188 19390 21485 27146 30079 38780 42970 54292 60158 67865 85940 120316 135730 150395 210553 271460 300790 421106 601580 842212 1052765 1190269 2105530 2380538 4211060 4761076 5951345 8331883 11902690 16663766 23805380 33327532 41659415 58323181 83318830 116646362 166637660 233292724 291615905 583231810 1166463620