Search a number
-
+
2149365870 = 2325235917599
BaseRepresentation
bin1000000000011100…
…1011100001101110
312112210102002200100
42000013023201232
513400214201440
6553140211530
7104156210541
oct20007134156
95483362610
102149365870
11a03296433
124bb999ba6
132833b3732
1416565a858
15c8a69230
hex801cb86e

2149365870 has 96 divisors (see below), whose sum is σ = 5930496000. Its totient is φ = 538921152.

The previous prime is 2149365797. The next prime is 2149365901. The reversal of 2149365870 is 785639412.

2149365870 is a `hidden beast` number, since 21 + 49 + 3 + 6 + 587 + 0 = 666.

2149365870 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2149365870 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113331 + ... + 130929.

It is an arithmetic number, because the mean of its divisors is an integer number (61776000).

It is a 1-persistent number, because it is pandigital, but 2⋅2149365870 = 4298731740 is not.

Almost surely, 22149365870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149365870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965248000).

2149365870 is an abundant number, since it is smaller than the sum of its proper divisors (3781130130).

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

2149365870 is a wasteful number, since it uses less digits than its factorization.

2149365870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17694 (or 17691 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2149365870 is about 46361.2539735499. The cubic root of 2149365870 is about 1290.5359770258.

The spelling of 2149365870 in words is "two billion, one hundred forty-nine million, three hundred sixty-five thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 59 69 90 115 118 138 177 207 230 295 345 354 414 531 590 690 885 1035 1062 1357 1770 2070 2655 2714 4071 5310 6785 8142 12213 13570 17599 20355 24426 35198 40710 52797 61065 87995 105594 122130 158391 175990 263985 316782 404777 527970 791955 809554 1038341 1214331 1583910 2023885 2076682 2428662 3115023 3642993 4047770 5191705 6071655 6230046 7285986 9345069 10383410 12143310 15575115 18214965 18690138 23881843 31150230 36429930 46725345 47763686 71645529 93450690 119409215 143291058 214936587 238818430 358227645 429873174 716455290 1074682935 2149365870