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2887164 = 223471967
BaseRepresentation
bin1011000000110111111100
312102200110000
423000313330
51214342124
6141514300
733353250
oct13006774
95380400
102887164
1116a2195
12b72990
137a11a7
14552260
153c06c9
hex2c0dfc

2887164 has 120 divisors (see below), whose sum is σ = 9215360. Its totient is φ = 769824.

The previous prime is 2887151. The next prime is 2887201. The reversal of 2887164 is 4617882.

2887164 is nontrivially palindromic in base 13.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43059 + ... + 43125.

22887164 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 2887164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607680).

2887164 is an abundant number, since it is smaller than the sum of its proper divisors (6328196).

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

2887164 is a wasteful number, since it uses less digits than its factorization.

2887164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 2887164 is about 1699.1656776195. The cubic root of 2887164 is about 142.3936047921.

The spelling of 2887164 in words is "two million, eight hundred eighty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 27 28 36 38 42 54 57 63 67 76 81 84 108 114 126 133 134 162 171 189 201 228 252 266 268 324 342 378 399 402 469 513 532 567 603 684 756 798 804 938 1026 1134 1197 1206 1273 1407 1539 1596 1809 1876 2052 2268 2394 2412 2546 2814 3078 3591 3618 3819 4221 4788 5092 5427 5628 6156 7182 7236 7638 8442 8911 10773 10854 11457 12663 14364 15276 16884 17822 21546 21708 22914 25326 26733 34371 35644 37989 43092 45828 50652 53466 68742 75978 80199 103113 106932 137484 151956 160398 206226 240597 320796 412452 481194 721791 962388 1443582 2887164