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10050640 = 245731721
BaseRepresentation
bin100110010101…
…110001010000
3200220121212221
4212111301100
510033110030
6555230424
7151300105
oct46256120
920817787
1010050640
115745216
123448414
13210b932
141498aac
15d37e7a
hex995c50

10050640 has 40 divisors (see below), whose sum is σ = 23701608. Its totient is φ = 3962880.

The previous prime is 10050631. The next prime is 10050641. The reversal of 10050640 is 4605001.

It can be written as a sum of positive squares in 4 ways, for example, as 2143296 + 7907344 = 1464^2 + 2812^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10050641) 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, 4980 + ... + 6700.

Almost surely, 210050640 is an apocalyptic number.

10050640 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 10050640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850804).

10050640 is an abundant number, since it is smaller than the sum of its proper divisors (13650968).

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

10050640 is a wasteful number, since it uses less digits than its factorization.

10050640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10050640 is about 3170.2744360702. The cubic root of 10050640 is about 215.8065254275.

Adding to 10050640 its reverse (4605001), we get a palindrome (14655641).

The spelling of 10050640 in words is "ten million, fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 1721 2920 3442 5840 6884 8605 13768 17210 27536 34420 68840 125633 137680 251266 502532 628165 1005064 1256330 2010128 2512660 5025320 10050640