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2149956 = 2233171171
BaseRepresentation
bin1000001100111001000100
311001020012000
420030321010
51022244311
6114025300
724163044
oct10147104
94036160
102149956
111239326
12878230
135a3783
143dd724
152c7056
hex20ce44

2149956 has 48 divisors (see below), whose sum is σ = 5906880. Its totient is φ = 673920.

The previous prime is 2149937. The next prime is 2149991. The reversal of 2149956 is 6599412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2149956.

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, 1251 + ... + 2421.

It is an arithmetic number, because the mean of its divisors is an integer number (123060).

22149956 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 2149956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953440).

2149956 is an abundant number, since it is smaller than the sum of its proper divisors (3756924).

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

2149956 is a wasteful number, since it uses less digits than its factorization.

2149956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1193 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 2149956 is about 1466.2728259093. The cubic root of 2149956 is about 129.0654076092.

It can be divided in two parts, 21 and 49956, that multiplied together give a triangular number (1049076 = T1448).

The spelling of 2149956 in words is "two million, one hundred forty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1171 1836 2342 3513 4684 7026 10539 14052 19907 21078 31617 39814 42156 59721 63234 79628 119442 126468 179163 238884 358326 537489 716652 1074978 2149956