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2987964 = 2232771167
BaseRepresentation
bin1011011001011110111100
312121210201100
423121132330
51231103324
6144013100
734253160
oct13313674
95553640
102987964
1117609a1
121001190
13808035
1457aca0
153e04c9
hex2d97bc

2987964 has 72 divisors (see below), whose sum is σ = 8805888. Its totient is φ = 836640.

The previous prime is 2987947. The next prime is 2987969. The reversal of 2987964 is 4697892.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2987969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17809 + ... + 17975.

It is an arithmetic number, because the mean of its divisors is an integer number (122304).

22987964 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 2987964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402944).

2987964 is an abundant number, since it is smaller than the sum of its proper divisors (5817924).

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

2987964 is a wasteful number, since it uses less digits than its factorization.

2987964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 250 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 2987964 is about 1728.5728217232. The cubic root of 2987964 is about 144.0318216711.

The spelling of 2987964 in words is "two million, nine hundred eighty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 167 213 252 284 334 426 497 501 639 668 852 994 1002 1169 1278 1491 1503 1988 2004 2338 2556 2982 3006 3507 4473 4676 5964 6012 7014 8946 10521 11857 14028 17892 21042 23714 35571 42084 47428 71142 82999 106713 142284 165998 213426 248997 331996 426852 497994 746991 995988 1493982 2987964