Search a number
-
+
2957064 = 2331123487
BaseRepresentation
bin1011010001111100001000
312120020022220
423101330020
51224111224
6143214040
734064115
oct13217410
95506286
102957064
11173a760
12ba7320
137c6c56
1456d90c
153d6279
hex2d1f08

2957064 has 64 divisors (see below), whose sum is σ = 8432640. Its totient is φ = 855360.

The previous prime is 2957057. The next prime is 2957107. The reversal of 2957064 is 4607592.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 5829 + ... + 6315.

It is an arithmetic number, because the mean of its divisors is an integer number (131760).

22957064 is an apocalyptic number.

2957064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2957064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216320).

2957064 is an abundant number, since it is smaller than the sum of its proper divisors (5475576).

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

2957064 is a wasteful number, since it uses less digits than its factorization.

2957064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2957064 is about 1719.6115840503. The cubic root of 2957064 is about 143.5335990316.

The spelling of 2957064 in words is "two million, nine hundred fifty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 487 506 552 759 974 1012 1461 1518 1948 2024 2922 3036 3896 5357 5844 6072 10714 11201 11688 16071 21428 22402 32142 33603 42856 44804 64284 67206 89608 123211 128568 134412 246422 268824 369633 492844 739266 985688 1478532 2957064