Search a number
-
+
1146311790 = 235132311727
BaseRepresentation
bin100010001010011…
…0101010001101110
32221212222200011020
41010110311101232
54321423434130
6305425235010
740256326611
oct10424652156
92855880136
101146311790
11539077018
1227ba92a66
13153647400
14ac356178
156a982e10
hex4453546e

1146311790 has 96 divisors (see below), whose sum is σ = 2992743936. Its totient is φ = 280874880.

The previous prime is 1146311753. The next prime is 1146311821. The reversal of 1146311790 is 971136411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1576407 + ... + 1577133.

It is an arithmetic number, because the mean of its divisors is an integer number (31174416).

Almost surely, 21146311790 is an apocalyptic number.

1146311790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146311790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496371968).

1146311790 is an abundant number, since it is smaller than the sum of its proper divisors (1846432146).

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

1146311790 is a wasteful number, since it uses less digits than its factorization.

1146311790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 1146311790 is about 33857.2265550503. The cubic root of 1146311790 is about 1046.5683249502.

The spelling of 1146311790 in words is "one billion, one hundred forty-six million, three hundred eleven thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 311 338 390 507 622 727 845 933 1014 1454 1555 1690 1866 2181 2535 3110 3635 4043 4362 4665 5070 7270 8086 9330 9451 10905 12129 18902 20215 21810 24258 28353 40430 47255 52559 56706 60645 94510 105118 121290 122863 141765 157677 226097 245726 262795 283530 315354 368589 452194 525590 614315 678291 737178 788385 1130485 1228630 1356582 1576770 1842945 2260970 2939261 3391455 3685890 5878522 6782910 8817783 14696305 17635566 29392610 38210393 44088915 76420786 88177830 114631179 191051965 229262358 382103930 573155895 1146311790