Search a number
-
+
2963088 = 2433193
BaseRepresentation
bin1011010011011010010000
312120112121000
423103122100
51224304323
6143302000
734120512
oct13233220
95515530
102963088
111744237
12baa900
137c990b
14571bb2
153d7e43
hex2d3690

2963088 has 80 divisors (see below), whose sum is σ = 8977600. Its totient is φ = 935712.

The previous prime is 2963047. The next prime is 2963101. The reversal of 2963088 is 8803692.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a nialpdrome in base 12.

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, 155943 + ... + 155961.

It is an arithmetic number, because the mean of its divisors is an integer number (112220).

22963088 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 2963088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4488800).

2963088 is an abundant number, since it is smaller than the sum of its proper divisors (6014512).

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

2963088 is an equidigital number, since it uses as much as digits as its factorization.

2963088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2963088 is about 1721.3622512417. The cubic root of 2963088 is about 143.6309996880.

The spelling of 2963088 in words is "two million, nine hundred sixty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 361 432 456 513 684 722 912 1026 1083 1368 1444 2052 2166 2736 2888 3249 4104 4332 5776 6498 6859 8208 8664 9747 12996 13718 17328 19494 20577 25992 27436 38988 41154 51984 54872 61731 77976 82308 109744 123462 155952 164616 185193 246924 329232 370386 493848 740772 987696 1481544 2963088