Search a number
-
+
2111527420 = 2252353257337
BaseRepresentation
bin111110111011011…
…0101100111111100
312110011012201002021
41331312311213330
513311022334140
6545305205524
7103216454422
oct17566654774
95404181067
102111527420
119939a1892
124ab1908a4
132785c5a12
1416060b112
15c5592b4a
hex7ddb59fc

2111527420 has 96 divisors (see below), whose sum is σ = 4746688128. Its totient is φ = 787218432.

The previous prime is 2111527391. The next prime is 2111527421. The reversal of 2111527420 is 247251112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111527421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6265492 + ... + 6265828.

It is an arithmetic number, because the mean of its divisors is an integer number (49444668).

Almost surely, 22111527420 is an apocalyptic number.

2111527420 is a gapful number since it is divisible by the number (20) 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 2111527420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373344064).

2111527420 is an abundant number, since it is smaller than the sum of its proper divisors (2635160708).

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

2111527420 is a wasteful number, since it uses less digits than its factorization.

2111527420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 2111527420 is about 45951.3592834858. The cubic root of 2111527420 is about 1282.9180293691.

Adding to 2111527420 its reverse (247251112), we get a palindrome (2358778532).

The spelling of 2111527420 in words is "two billion, one hundred eleven million, five hundred twenty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 53 92 106 115 212 230 257 265 337 460 514 530 674 1028 1060 1219 1285 1348 1685 2438 2570 3370 4876 5140 5911 6095 6740 7751 11822 12190 13621 15502 17861 23644 24380 27242 29555 31004 35722 38755 54484 59110 68105 71444 77510 86609 89305 118220 136210 155020 173218 178610 272420 313283 346436 357220 410803 433045 626566 821606 866090 1253132 1566415 1643212 1732180 1992007 2054015 3132830 3984014 4108030 4590277 6265660 7968028 8216060 9180554 9960035 18361108 19920070 22951385 39840140 45902770 91805540 105576371 211152742 422305484 527881855 1055763710 2111527420