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10490960 = 245711847
BaseRepresentation
bin101000000001…
…010001010000
3201201222220002
4220001101100
510141202320
61012505132
7155112614
oct50012120
921658802
1010490960
115a16017
12361b1a8
13223418c
141571344
15dc3675
hexa01450

10490960 has 40 divisors (see below), whose sum is σ = 24748416. Its totient is φ = 4135040.

The previous prime is 10490947. The next prime is 10490969. The reversal of 10490960 is 6909401.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×104909602 = 220120483443200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10490969) 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, 4757 + ... + 6603.

Almost surely, 210490960 is an apocalyptic number.

10490960 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 10490960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374208).

10490960 is an abundant number, since it is smaller than the sum of its proper divisors (14257456).

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

10490960 is a wasteful number, since it uses less digits than its factorization.

10490960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1931 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 10490960 is about 3238.9751465548. The cubic root of 10490960 is about 218.9130963271.

The spelling of 10490960 in words is "ten million, four hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 1847 2840 3694 5680 7388 9235 14776 18470 29552 36940 73880 131137 147760 262274 524548 655685 1049096 1311370 2098192 2622740 5245480 10490960