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1013403420 = 2233510717539
BaseRepresentation
bin111100011001110…
…100111100011100
32121121220020011000
4330121310330130
54033412402140
6244320430300
734053533631
oct7431647434
92547806130
101013403420
11480048a97
12243478390
13131c50bc3
149883a188
155de7ca30
hex3c674f1c

1013403420 has 96 divisors (see below), whose sum is σ = 3182457600. Its totient is φ = 267700032.

The previous prime is 1013403383. The next prime is 1013403421. The reversal of 1013403420 is 243043101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1013403393 and 1013403402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013403421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49011 + ... + 66549.

It is an arithmetic number, because the mean of its divisors is an integer number (33150600).

Almost surely, 21013403420 is an apocalyptic number.

1013403420 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 1013403420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591228800).

1013403420 is an abundant number, since it is smaller than the sum of its proper divisors (2169054180).

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

1013403420 is a wasteful number, since it uses less digits than its factorization.

1013403420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17664 (or 17656 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1013403420 is about 31833.9978639190. The cubic root of 1013403420 is about 1004.4479926937.

Adding to 1013403420 its reverse (243043101), we get a palindrome (1256446521).

The spelling of 1013403420 in words is "one billion, thirteen million, four hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 180 214 270 321 428 535 540 642 963 1070 1284 1605 1926 2140 2889 3210 3852 4815 5778 6420 9630 11556 14445 17539 19260 28890 35078 52617 57780 70156 87695 105234 157851 175390 210468 263085 315702 350780 473553 526170 631404 789255 947106 1052340 1578510 1876673 1894212 2367765 3157020 3753346 4735530 5630019 7506692 9383365 9471060 11260038 16890057 18766730 22520076 28150095 33780114 37533460 50670171 56300190 67560228 84450285 101340342 112600380 168900570 202680684 253350855 337801140 506701710 1013403420