Search a number
-
+
1138977060 = 22351310191433
BaseRepresentation
bin100001111100011…
…0110100100100100
32221101012000210120
41003320312210210
54313034231220
6305004121540
740140100554
oct10370664444
92841160716
101138977060
11534a17361
122795362b0
13151c79a30
14ab3a7164
1569ed4a40
hex43e36924

1138977060 has 96 divisors (see below), whose sum is σ = 3440223360. Its totient is φ = 279892992.

The previous prime is 1138977023. The next prime is 1138977083. The reversal of 1138977060 is 607798311.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794104 + ... + 795536.

It is an arithmetic number, because the mean of its divisors is an integer number (35835660).

Almost surely, 21138977060 is an apocalyptic number.

1138977060 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 1138977060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720111680).

1138977060 is an abundant number, since it is smaller than the sum of its proper divisors (2301246300).

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

1138977060 is a wasteful number, since it uses less digits than its factorization.

1138977060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 1138977060 is about 33748.7341984851. The cubic root of 1138977060 is about 1044.3313748211.

The spelling of 1138977060 in words is "one billion, one hundred thirty-eight million, nine hundred seventy-seven thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1019 1433 2038 2866 3057 4076 4299 5095 5732 6114 7165 8598 10190 12228 13247 14330 15285 17196 18629 20380 21495 26494 28660 30570 37258 39741 42990 52988 55887 61140 66235 74516 79482 85980 93145 111774 132470 158964 186290 198705 223548 264940 279435 372580 397410 558870 794820 1117740 1460227 2920454 4380681 5840908 7301135 8761362 14602270 17522724 18982951 21903405 29204540 37965902 43806810 56948853 75931804 87613620 94914755 113897706 189829510 227795412 284744265 379659020 569488530 1138977060