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10753340 = 2251359701
BaseRepresentation
bin101001000001…
…010100111100
3202020022210212
4221001110330
510223101330
61022251552
7160254563
oct51012474
922208725
1010753340
116085164
123726bb8
1322c6730
1415dcbda
15e26295
hexa4153c

10753340 has 48 divisors (see below), whose sum is σ = 24766560. Its totient is φ = 3897600.

The previous prime is 10753339. The next prime is 10753343. The reversal of 10753340 is 4335701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10753343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14990 + ... + 15690.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 210753340 is an apocalyptic number.

10753340 is a gapful number since it is divisible by the number (10) 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 10753340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12383280).

10753340 is an abundant number, since it is smaller than the sum of its proper divisors (14013220).

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

10753340 is a wasteful number, since it uses less digits than its factorization.

10753340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 10753340 is about 3279.2285678190. The cubic root of 10753340 is about 220.7231027733.

The spelling of 10753340 in words is "ten million, seven hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 236 260 295 590 701 767 1180 1402 1534 2804 3068 3505 3835 7010 7670 9113 14020 15340 18226 36452 41359 45565 82718 91130 165436 182260 206795 413590 537667 827180 1075334 2150668 2688335 5376670 10753340