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10420056240 = 2435113946991
BaseRepresentation
bin10011011010001010…
…10111000010110000
3222220012011200221220
421231011113002300
5132320013244430
64441545545040
7516135005466
oct115505270260
928805150856
1010420056240
114467939530
1220297a5180
13ca0a31969
1470bc68836
1540ebd4110
hex26d1570b0

10420056240 has 80 divisors (see below), whose sum is σ = 35238744576. Its totient is φ = 2526073600.

The previous prime is 10420056239. The next prime is 10420056263. The reversal of 10420056240 is 4265002401.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10420056240.

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, 1970856 + ... + 1976135.

Almost surely, 210420056240 is an apocalyptic number.

10420056240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10420056240 is an abundant number, since it is smaller than the sum of its proper divisors (24818688336).

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

10420056240 is a wasteful number, since it uses less digits than its factorization.

10420056240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947018 (or 3947012 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10420056240 its reverse (4265002401), we get a palindrome (14685058641).

The spelling of 10420056240 in words is "ten billion, four hundred twenty million, fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 3946991 7893982 11840973 15787964 19734955 23681946 31575928 39469910 43416901 47363892 59204865 63151856 78939820 86833802 94727784 118409730 130250703 157879640 173667604 189455568 217084505 236819460 260501406 315759280 347335208 434169010 473638920 521002812 651253515 694670416 868338020 947277840 1042005624 1302507030 1736676040 2084011248 2605014060 3473352080 5210028120 10420056240