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2474064 = 24342383
BaseRepresentation
bin1001011100000001010000
311122200210000
421130001100
51113132224
6125010000
730013005
oct11340120
94580700
102474064
11143a88a
129b3900
13688158
144858ac
1533d0c9
hex25c050

2474064 has 100 divisors (see below), whose sum is σ = 7562016. Its totient is φ = 779328.

The previous prime is 2474057. The next prime is 2474071. The reversal of 2474064 is 4604742.

It is an interprime number because it is at equal distance from previous prime (2474057) and next prime (2474071).

It is a super-2 number, since 2×24740642 = 12241985352192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29767 + ... + 29849.

22474064 is an apocalyptic number.

2474064 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 2474064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781008).

2474064 is an abundant number, since it is smaller than the sum of its proper divisors (5087952).

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

2474064 is a wasteful number, since it uses less digits than its factorization.

2474064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2474064 is about 1572.9157637967. The cubic root of 2474064 is about 135.2499074646.

It can be divided in two parts, 24 and 74064, that added together give a cube (74088 = 423).

The spelling of 2474064 in words is "two million, four hundred seventy-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 83 92 108 138 144 162 166 184 207 216 249 276 324 332 368 414 432 498 552 621 648 664 747 828 996 1104 1242 1296 1328 1494 1656 1863 1909 1992 2241 2484 2988 3312 3726 3818 3984 4482 4968 5727 5976 6723 7452 7636 8964 9936 11454 11952 13446 14904 15272 17181 17928 22908 26892 29808 30544 34362 35856 45816 51543 53784 68724 91632 103086 107568 137448 154629 206172 274896 309258 412344 618516 824688 1237032 2474064