Search a number
-
+
145235106 = 2347312281
BaseRepresentation
bin10001010100000…
…01110010100010
3101010021201010000
420222001302202
5244140010411
622224520430
73412322652
oct1052016242
9333251100
10145235106
1174a88315
1240780116
1324121143
1415408362
15cb3c956
hex8a81ca2

145235106 has 40 divisors (see below), whose sum is σ = 329919084. Its totient is φ = 47744640.

The previous prime is 145235089. The next prime is 145235117. The reversal of 145235106 is 601532541.

145235106 is a `hidden beast` number, since 145 + 2 + 3 + 510 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 136679481 + 8555625 = 11691^2 + 2925^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 145235106.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5686 + ... + 17966.

Almost surely, 2145235106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145235106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164959542).

145235106 is an abundant number, since it is smaller than the sum of its proper divisors (184683978).

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

145235106 is a wasteful number, since it uses less digits than its factorization.

145235106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12368 (or 12359 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 145235106 is about 12051.3528701138. The cubic root of 145235106 is about 525.6425764597.

Adding to 145235106 its reverse (601532541), we get a palindrome (746767647).

The spelling of 145235106 in words is "one hundred forty-five million, two hundred thirty-five thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 438 657 1314 1971 3942 5913 11826 12281 24562 36843 73686 110529 221058 331587 663174 896513 994761 1793026 1989522 2689539 5379078 8068617 16137234 24205851 48411702 72617553 145235106