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10426640 = 245743433
BaseRepresentation
bin100111110001…
…100100010000
3201121201122212
4213301210100
510132123030
61011251252
7154424240
oct47614420
921551585
1010426640
115981764
1235a9b28
132210b13
141555b20
15dae595
hex9f1910

10426640 has 80 divisors (see below), whose sum is σ = 28414848. Its totient is φ = 3483648.

The previous prime is 10426639. The next prime is 10426643. The reversal of 10426640 is 4662401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (10426643) 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, 23864 + ... + 24296.

Almost surely, 210426640 is an apocalyptic number.

10426640 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 10426640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14207424).

10426640 is an abundant number, since it is smaller than the sum of its proper divisors (17988208).

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

10426640 is a wasteful number, since it uses less digits than its factorization.

10426640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 10426640 is about 3229.0308143466. The cubic root of 10426640 is about 218.4647940247.

The spelling of 10426640 in words is "ten million, four hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 433 560 602 688 860 866 1204 1505 1720 1732 2165 2408 3010 3031 3440 3464 4330 4816 6020 6062 6928 8660 12040 12124 15155 17320 18619 24080 24248 30310 34640 37238 48496 60620 74476 93095 121240 130333 148952 186190 242480 260666 297904 372380 521332 651665 744760 1042664 1303330 1489520 2085328 2606660 5213320 10426640