Search a number
-
+
2106007940 = 2251731199811
BaseRepresentation
bin111110110000111…
…0010000110000100
312102202211021210002
41331201302012010
513303114223230
6544551020432
7103121525561
oct17541620604
95382737702
102106007940
11990871a33
124a936a718
1327741265a
1415d9b1868
15c4d52545
hex7d872184

2106007940 has 48 divisors (see below), whose sum is σ = 4833851904. Its totient is φ = 767270400.

The previous prime is 2106007901. The next prime is 2106007987. The reversal of 2106007940 is 497006012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89366 + ... + 110445.

It is an arithmetic number, because the mean of its divisors is an integer number (100705248).

Almost surely, 22106007940 is an apocalyptic number.

2106007940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2106007940 is an abundant number, since it is smaller than the sum of its proper divisors (2727843964).

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

2106007940 is a wasteful number, since it uses less digits than its factorization.

2106007940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199868 (or 199866 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 2106007940 is about 45891.2621312598. The cubic root of 2106007940 is about 1281.7992153768.

The spelling of 2106007940 in words is "two billion, one hundred six million, seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 5270 10540 199811 399622 799244 999055 1998110 3396787 3996220 6194141 6793574 12388282 13587148 16983935 24776564 30970705 33967870 61941410 67935740 105300397 123882820 210600794 421201588 526501985 1053003970 2106007940