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10664448 = 29353131
BaseRepresentation
bin101000101011…
…101000000000
3202001210212120
4220223220000
510212230243
61020324240
7156434454
oct50535000
922053776
1010664448
1160243a3
1236a3680
132295132
1415b8664
15e09c83
hexa2ba00

10664448 has 80 divisors (see below), whose sum is σ = 29167776. Its totient is φ = 3461120.

The previous prime is 10664371. The next prime is 10664449. The reversal of 10664448 is 84446601.

It is a super-2 number, since 2×106644482 = 227460902289408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10664449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81343 + ... + 81473.

Almost surely, 210664448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14583888).

10664448 is an abundant number, since it is smaller than the sum of its proper divisors (18503328).

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

10664448 is an equidigital number, since it uses as much as digits as its factorization.

10664448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 10664448 is about 3265.6466434689. The cubic root of 10664448 is about 220.1132199598.

The spelling of 10664448 in words is "ten million, six hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 131 159 192 212 256 262 318 384 393 424 512 524 636 768 786 848 1048 1272 1536 1572 1696 2096 2544 3144 3392 4192 5088 6288 6784 6943 8384 10176 12576 13568 13886 16768 20352 20829 25152 27136 27772 33536 40704 41658 50304 55544 67072 81408 83316 100608 111088 166632 201216 222176 333264 444352 666528 888704 1333056 1777408 2666112 3554816 5332224 10664448