Search a number
-
+
2058156 = 2233171959
BaseRepresentation
bin111110110011110101100
310212120021000
413312132230
51011330111
6112040300
723331312
oct7663654
93776230
102058156
111186361
12833090
13570a59
143b80b2
152a9c56
hex1f67ac

2058156 has 96 divisors (see below), whose sum is σ = 6048000. Its totient is φ = 601344.

The previous prime is 2058143. The next prime is 2058157. The reversal of 2058156 is 6518502.

It is a super-2 number, since 2×20581562 = 8472012240672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2058157) 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, 34855 + ... + 34913.

It is an arithmetic number, because the mean of its divisors is an integer number (63000).

22058156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2058156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024000).

2058156 is an abundant number, since it is smaller than the sum of its proper divisors (3989844).

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

2058156 is a wasteful number, since it uses less digits than its factorization.

2058156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2058156 is about 1434.6274777795. The cubic root of 2058156 is about 127.2016553718.

The spelling of 2058156 in words is "two million, fifty-eight thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 59 68 76 102 108 114 118 153 171 177 204 228 236 306 323 342 354 459 513 531 612 646 684 708 918 969 1003 1026 1062 1121 1292 1593 1836 1938 2006 2052 2124 2242 2907 3009 3186 3363 3876 4012 4484 5814 6018 6372 6726 8721 9027 10089 11628 12036 13452 17442 18054 19057 20178 27081 30267 34884 36108 38114 40356 54162 57171 60534 76228 108324 114342 121068 171513 228684 343026 514539 686052 1029078 2058156