Search a number
-
+
1206135042 = 237233140277
BaseRepresentation
bin100011111100100…
…0010100100000010
310010001120000020020
41013321002210002
54432232310132
6315403354310
741613656460
oct10771024402
93101500206
101206135042
11569917122
12297b22996
13162b61a98
14b6289830
1570d4d52c
hex47e42902

1206135042 has 64 divisors (see below), whose sum is σ = 2969616384. Its totient is φ = 318985920.

The previous prime is 1206135017. The next prime is 1206135043. The reversal of 1206135042 is 2405316021.

It is not an unprimeable number, because it can be changed into a prime (1206135043) 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, 9808 + ... + 50084.

It is an arithmetic number, because the mean of its divisors is an integer number (46400256).

Almost surely, 21206135042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1206135042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484808192).

1206135042 is an abundant number, since it is smaller than the sum of its proper divisors (1763481342).

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

1206135042 is a wasteful number, since it uses less digits than its factorization.

1206135042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40343.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1206135042 is about 34729.4549626106. The cubic root of 1206135042 is about 1064.4664514296.

The spelling of 1206135042 in words is "one billion, two hundred six million, one hundred thirty-five thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 23 31 42 46 62 69 93 138 161 186 217 322 434 483 651 713 966 1302 1426 2139 4278 4991 9982 14973 29946 40277 80554 120831 241662 281939 563878 845817 926371 1248587 1691634 1852742 2497174 2779113 3745761 5558226 6484597 7491522 8740109 12969194 17480218 19453791 26220327 28717501 38907582 52440654 57435002 86152503 172305006 201022507 402045014 603067521 1206135042