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2074464 = 253374
BaseRepresentation
bin111111010011101100000
310220101122000
413322131200
51012340324
6112244000
723430000
oct7723540
93811560
102074464
111197637
12840600
135782c2
143c0000
152ae9c9
hex1fa760

2074464 has 120 divisors (see below), whose sum is σ = 7058520. Its totient is φ = 592704.

The previous prime is 2074463. The next prime is 2074481. The reversal of 2074464 is 4644702.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2074464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2074463) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 296349 + ... + 296355.

It is an arithmetic number, because the mean of its divisors is an integer number (58821).

22074464 is an apocalyptic number.

2074464 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 2074464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529260).

2074464 is an abundant number, since it is smaller than the sum of its proper divisors (4984056).

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

2074464 is an frugal number, since it uses more digits than its factorization.

2074464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 12 counting only the distinct ones).

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

The square root of 2074464 is about 1440.2999687565. The cubic root of 2074464 is about 127.5367368188.

The spelling of 2074464 in words is "two million, seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 343 378 392 432 441 504 588 672 686 756 784 864 882 1008 1029 1176 1323 1372 1512 1568 1764 2016 2058 2352 2401 2646 2744 3024 3087 3528 4116 4704 4802 5292 5488 6048 6174 7056 7203 8232 9261 9604 10584 10976 12348 14112 14406 16464 18522 19208 21168 21609 24696 28812 32928 37044 38416 42336 43218 49392 57624 64827 74088 76832 86436 98784 115248 129654 148176 172872 230496 259308 296352 345744 518616 691488 1037232 2074464