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10649240 = 235773521
BaseRepresentation
bin101000100111…
…111010011000
3202001001000022
4220213322120
510211233430
61020130012
7156342230
oct50477230
922031008
1010649240
116013a28
123696908
13228b234
1415b2cc0
15e054e5
hexa27e98

10649240 has 64 divisors (see below), whose sum is σ = 27812160. Its totient is φ = 3594240.

The previous prime is 10649231. The next prime is 10649269. The reversal of 10649240 is 4294601.

10649240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106492402 = 226812625155200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20180 + ... + 20700.

It is an arithmetic number, because the mean of its divisors is an integer number (434565).

Almost surely, 210649240 is an apocalyptic number.

10649240 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 10649240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13906080).

10649240 is an abundant number, since it is smaller than the sum of its proper divisors (17162920).

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

10649240 is a wasteful number, since it uses less digits than its factorization.

10649240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 10649240 is about 3263.3173305702. The cubic root of 10649240 is about 220.0085396134.

The spelling of 10649240 in words is "ten million, six hundred forty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 280 292 365 511 521 584 730 1022 1042 1460 2044 2084 2555 2605 2920 3647 4088 4168 5110 5210 7294 10220 10420 14588 18235 20440 20840 29176 36470 38033 72940 76066 145880 152132 190165 266231 304264 380330 532462 760660 1064924 1331155 1521320 2129848 2662310 5324620 10649240