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10426240 = 275111481
BaseRepresentation
bin100111110001…
…011110000000
3201121201010001
4213301132000
510132114430
61011245344
7154423126
oct47613600
921551101
1010426240
115981430
1235a9854
132210896
141555916
15dae3ca
hex9f1780

10426240 has 64 divisors (see below), whose sum is σ = 27209520. Its totient is φ = 3788800.

The previous prime is 10426223. The next prime is 10426249. The reversal of 10426240 is 4262401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10426249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6300 + ... + 7780.

Almost surely, 210426240 is an apocalyptic number.

10426240 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 10426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13604760).

10426240 is an abundant number, since it is smaller than the sum of its proper divisors (16783280).

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

10426240 is a wasteful number, since it uses less digits than its factorization.

10426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 10426240 is about 3228.9688756629. The cubic root of 10426240 is about 218.4620003144.

Adding to 10426240 its reverse (4262401), we get a palindrome (14688641).

The spelling of 10426240 in words is "ten million, four hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1481 1760 2962 3520 5924 7040 7405 11848 14810 16291 23696 29620 32582 47392 59240 65164 81455 94784 118480 130328 162910 189568 236960 260656 325820 473920 521312 651640 947840 1042624 1303280 2085248 2606560 5213120 10426240