Search a number
-
+
2059464 = 2331129269
BaseRepresentation
bin111110110110011001000
310212122001110
413312303020
51011400324
6112050320
723335161
oct7666310
93778043
102059464
111187340
128339a0
13571524
143b8768
152aa329
hex1f6cc8

2059464 has 64 divisors (see below), whose sum is σ = 5832000. Its totient is φ = 600320.

The previous prime is 2059459. The next prime is 2059469. The reversal of 2059464 is 4649502.

2059464 = T672 + T673 + ... + T680.

2059464 = 82 + 92 + ... + 1832.

It is an interprime number because it is at equal distance from previous prime (2059459) and next prime (2059469).

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2059469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7522 + ... + 7790.

It is an arithmetic number, because the mean of its divisors is an integer number (91125).

22059464 is an apocalyptic number.

2059464 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 2059464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916000).

2059464 is an abundant number, since it is smaller than the sum of its proper divisors (3772536).

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

2059464 is a wasteful number, since it uses less digits than its factorization.

2059464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2059464 is about 1435.0832728452. The cubic root of 2059464 is about 127.2285960786.

It can be divided in two parts, 205 and 9464, that added together give a palindrome (9669).

The spelling of 2059464 in words is "two million, fifty-nine thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 269 319 348 538 638 696 807 957 1076 1276 1614 1914 2152 2552 2959 3228 3828 5918 6456 7656 7801 8877 11836 15602 17754 23403 23672 31204 35508 46806 62408 71016 85811 93612 171622 187224 257433 343244 514866 686488 1029732 2059464