Search a number
-
+
36003146340 = 2235785721777
BaseRepresentation
bin100001100001111101…
…000110101001100100
310102221010021100000110
4201201331012221210
51042213301140330
624312320213020
72413122460140
oct414175065144
9112833240013
1036003146340
11142a59237a7
126b8946a170
133519cc2cb5
141a57836220
15e0ab83db0
hex861f46a64

36003146340 has 48 divisors (see below), whose sum is σ = 115210069632. Its totient is φ = 8229290496.

The previous prime is 36003146317. The next prime is 36003146351. The reversal of 36003146340 is 4364130063.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 36003146298 and 36003146307.

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, 42860469 + ... + 42861308.

It is an arithmetic number, because the mean of its divisors is an integer number (2400209784).

Almost surely, 236003146340 is an apocalyptic number.

36003146340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36003146340 is an abundant number, since it is smaller than the sum of its proper divisors (79206923292).

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

36003146340 is a wasteful number, since it uses less digits than its factorization.

36003146340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85721796 (or 85721794 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The spelling of 36003146340 in words is "thirty-six billion, three million, one hundred forty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 85721777 171443554 257165331 342887108 428608885 514330662 600052439 857217770 1028661324 1200104878 1285826655 1714435540 1800157317 2400209756 2571653310 3000262195 3600314634 5143306620 6000524390 7200629268 9000786585 12001048780 18001573170 36003146340