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2026464 = 2531119101
BaseRepresentation
bin111101110101111100000
310210221210020
413232233200
51004321324
6111233440
723140026
oct7565740
93727706
102026464
111164570
12818880
1355c4bb
143aa716
152a0679
hex1eebe0

2026464 has 96 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 576000.

The previous prime is 2026463. The next prime is 2026469. The reversal of 2026464 is 4646202.

2026464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2026463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20014 + ... + 20114.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

22026464 is an apocalyptic number.

2026464 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 2026464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2026464 is an abundant number, since it is smaller than the sum of its proper divisors (4142496).

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

2026464 is a wasteful number, since it uses less digits than its factorization.

2026464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2026464 is about 1423.5392513029. The cubic root of 2026464 is about 126.5453809798.

It can be divided in two parts, 202 and 6464, that added together give a palindrome (6666).

The spelling of 2026464 in words is "two million, twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 101 114 132 152 176 202 209 228 264 303 304 352 404 418 456 528 606 608 627 808 836 912 1056 1111 1212 1254 1616 1672 1824 1919 2222 2424 2508 3232 3333 3344 3838 4444 4848 5016 5757 6666 6688 7676 8888 9696 10032 11514 13332 15352 17776 20064 21109 23028 26664 30704 35552 42218 46056 53328 61408 63327 84436 92112 106656 126654 168872 184224 253308 337744 506616 675488 1013232 2026464