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2035013240 = 2351319281733
BaseRepresentation
bin111100101001011…
…1101011001111000
312020211020101100202
41321102331121320
513131430410430
6533533221332
7101300220131
oct17122753170
95224211322
102035013240
11954791627
12489631848
132657b6160
141543b0c88
15bd9cbd45
hex794bd678

2035013240 has 128 divisors (see below), whose sum is σ = 5216097600. Its totient is φ = 708341760.

The previous prime is 2035013111. The next prime is 2035013263. The reversal of 2035013240 is 423105302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2775914 + ... + 2776646.

Almost surely, 22035013240 is an apocalyptic number.

2035013240 is a gapful number since it is divisible by the number (20) 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 2035013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608048800).

2035013240 is an abundant number, since it is smaller than the sum of its proper divisors (3181084360).

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

2035013240 is a wasteful number, since it uses less digits than its factorization.

2035013240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2035013240 is about 45111.1210235348. The cubic root of 2035013240 is about 1267.2308773016.

Adding to 2035013240 its reverse (423105302), we get a palindrome (2458118542).

The spelling of 2035013240 in words is "two billion, thirty-five million, thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 281 380 494 520 562 733 760 988 1124 1235 1405 1466 1976 2248 2470 2810 2932 3653 3665 4940 5339 5620 5864 7306 7330 9529 9880 10678 11240 13927 14612 14660 18265 19058 21356 26695 27854 29224 29320 36530 38116 42712 47645 53390 55708 69407 69635 73060 76232 95290 106780 111416 138814 139270 146120 181051 190580 205973 213560 277628 278540 347035 362102 381160 411946 555256 557080 694070 724204 823892 905255 1029865 1388140 1448408 1647784 1810510 2059730 2677649 2776280 3621020 3913487 4119460 5355298 7242040 7826974 8238920 10710596 13388245 15653948 19567435 21421192 26776490 31307896 39134870 50875331 53552980 78269740 101750662 107105960 156539480 203501324 254376655 407002648 508753310 1017506620 2035013240