Search a number
-
+
10506035340 = 223456485207
BaseRepresentation
bin10011100100011010…
…10110000010001100
31000010011221220010000
421302031112002030
5133004021112330
64454300444300
7521230553433
oct116215260214
930104856100
1010506035340
114501423939
122052549690
13cb57a6678
1471944a11a
15417519560
hex27235608c

10506035340 has 60 divisors (see below), whose sum is σ = 32957827056. Its totient is φ = 2801608992.

The previous prime is 10506035339. The next prime is 10506035347. The reversal of 10506035340 is 4353060501.

10506035340 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 603 + 53 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×105060353402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10506035347) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3240984 + ... + 3244223.

Almost surely, 210506035340 is an apocalyptic number.

10506035340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10506035340 is an abundant number, since it is smaller than the sum of its proper divisors (22451791716).

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

10506035340 is a wasteful number, since it uses less digits than its factorization.

10506035340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6485228 (or 6485217 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 10506035340 its reverse (4353060501), we get a palindrome (14859095841).

The spelling of 10506035340 in words is "ten billion, five hundred six million, thirty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 6485207 12970414 19455621 25940828 32426035 38911242 58366863 64852070 77822484 97278105 116733726 129704140 175100589 194556210 233467452 291834315 350201178 389112420 525301767 583668630 700402356 875502945 1050603534 1167337260 1751005890 2101207068 2626508835 3502011780 5253017670 10506035340