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10140672 = 21033301
BaseRepresentation
bin100110101011…
…110000000000
3201002012101110
4212223300000
510044000142
61001203320
7152123433
oct46536000
921065343
1010140672
1157a6923
123490540
1321408c9
1414bd81a
15d5499c
hex9abc00

10140672 has 44 divisors (see below), whose sum is σ = 27036776. Its totient is φ = 3379200.

The previous prime is 10140643. The next prime is 10140709. The reversal of 10140672 is 27604101.

It is a super-3 number, since 3×101406723 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1422 + ... + 4722.

Almost surely, 210140672 is an apocalyptic number.

10140672 is a gapful number since it is divisible by the number (12) 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 10140672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13518388).

10140672 is an abundant number, since it is smaller than the sum of its proper divisors (16896104).

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

10140672 is an equidigital number, since it uses as much as digits as its factorization.

10140672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10140672 is about 3184.4421803512. The cubic root of 10140672 is about 216.4489974389.

Adding to 10140672 its reverse (27604101), we get a palindrome (37744773).

The spelling of 10140672 in words is "ten million, one hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 3301 6602 9903 13204 19806 26408 39612 52816 79224 105632 158448 211264 316896 422528 633792 845056 1267584 1690112 2535168 3380224 5070336 10140672