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12070464 = 263721283
BaseRepresentation
bin101110000010…
…111001000000
3211201020120020
4232002321000
511042223324
61110413440
7204411600
oct56027100
924636506
1012070464
1168a479a
124061280
1326680b3
141862c00
1510d6679
hexb82e40

12070464 has 84 divisors (see below), whose sum is σ = 37179504. Its totient is φ = 3446016.

The previous prime is 12070463. The next prime is 12070483. The reversal of 12070464 is 46407021.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×120704642 = 291392202350592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12070463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8767 + ... + 10049.

Almost surely, 212070464 is an apocalyptic number.

12070464 is a gapful number since it is divisible by the number (14) 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 12070464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18589752).

12070464 is an abundant number, since it is smaller than the sum of its proper divisors (25109040).

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

12070464 is a wasteful number, since it uses less digits than its factorization.

12070464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 12070464 is about 3474.2573307111. The cubic root of 12070464 is about 229.3900917144.

Adding to 12070464 its reverse (46407021), we get a palindrome (58477485).

The spelling of 12070464 in words is "twelve million, seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1283 1344 1568 2352 2566 3136 3849 4704 5132 7698 8981 9408 10264 15396 17962 20528 26943 30792 35924 41056 53886 61584 62867 71848 82112 107772 123168 125734 143696 188601 215544 246336 251468 287392 377202 431088 502936 574784 754404 862176 1005872 1508808 1724352 2011744 3017616 4023488 6035232 12070464