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1352013936 = 243713973191
BaseRepresentation
bin101000010010110…
…0001100001110000
310111020001102110020
41100211201201300
510232103421221
6342054203440
745334633410
oct12045414160
93436042406
101352013936
116341a4099
12318953580
13187149c60
14cb7c0640
157da66ac6
hex50961870

1352013936 has 160 divisors (see below), whose sum is σ = 4344388608. Its totient is φ = 352788480.

The previous prime is 1352013911. The next prime is 1352013953. The reversal of 1352013936 is 6393102531.

It is a junction number, because it is equal to n+sod(n) for n = 1352013897 and 1352013906.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 422101 + ... + 425291.

Almost surely, 21352013936 is an apocalyptic number.

1352013936 is a gapful number since it is divisible by the number (16) 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 1352013936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172194304).

1352013936 is an abundant number, since it is smaller than the sum of its proper divisors (2992374672).

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

1352013936 is a wasteful number, since it uses less digits than its factorization.

1352013936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3319 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 1352013936 is about 36769.7421258295. The cubic root of 1352013936 is about 1105.7587619834.

The spelling of 1352013936 in words is "one billion, three hundred fifty-two million, thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 97 104 112 156 168 182 194 208 273 291 312 336 364 388 546 582 624 679 728 776 1092 1164 1261 1358 1456 1552 2037 2184 2328 2522 2716 3191 3783 4074 4368 4656 5044 5432 6382 7566 8148 8827 9573 10088 10864 12764 15132 16296 17654 19146 20176 22337 25528 26481 30264 32592 35308 38292 41483 44674 51056 52962 60528 67011 70616 76584 82966 89348 105924 124449 134022 141232 153168 165932 178696 211848 248898 268044 290381 309527 331864 357392 423696 497796 536088 580762 619054 663728 871143 928581 995592 1072176 1161524 1238108 1742286 1857162 1991184 2166689 2323048 2476216 3484572 3714324 4023851 4333378 4646096 4952432 6500067 6969144 7428648 8047702 8666756 12071553 13000134 13938288 14857296 16095404 17333512 24143106 26000268 28166957 32190808 34667024 48286212 52000536 56333914 64381616 84500871 96572424 104001072 112667828 169001742 193144848 225335656 338003484 450671312 676006968 1352013936