Search a number
-
+
2420664 = 233172349
BaseRepresentation
bin1001001110111110111000
311112222112020
421032332320
51104430124
6123514440
726401221
oct11167670
94488466
102420664
111403754
12988a20
13669a5c
14470248
1532c379
hex24efb8

2420664 has 48 divisors (see below), whose sum is σ = 6447000. Its totient is φ = 757248.

The previous prime is 2420633. The next prime is 2420687. The reversal of 2420664 is 4660242.

It is a super-2 number, since 2×24206642 = 11719228401792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6762 + ... + 7110.

22420664 is an apocalyptic number.

2420664 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 2420664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223500).

2420664 is an abundant number, since it is smaller than the sum of its proper divisors (4026336).

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

2420664 is a wasteful number, since it uses less digits than its factorization.

2420664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 371 counting only the distinct ones).

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

The square root of 2420664 is about 1555.8483216561. The cubic root of 2420664 is about 134.2697469643.

The spelling of 2420664 in words is "two million, four hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 349 408 578 698 867 1047 1156 1396 1734 2094 2312 2792 3468 4188 5933 6936 8376 11866 17799 23732 35598 47464 71196 100861 142392 201722 302583 403444 605166 806888 1210332 2420664