Search a number
-
+
145506036 = 223135915809
BaseRepresentation
bin10001010110000…
…11111011110100
3101010210110202110
420223003323310
5244222143121
622234411020
73414531564
oct1053037364
9333713673
10145506036
1175152925
1240890a70
13241b7560
1415478da4
15cb92d76
hex8ac3ef4

145506036 has 48 divisors (see below), whose sum is σ = 371851200. Its totient is φ = 44009472.

The previous prime is 145506001. The next prime is 145506103. The reversal of 145506036 is 630605541.

It is a junction number, because it is equal to n+sod(n) for n = 145505994 and 145506012.

It is a congruent number.

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, 1300 + ... + 17108.

It is an arithmetic number, because the mean of its divisors is an integer number (7746900).

Almost surely, 2145506036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145506036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185925600).

145506036 is an abundant number, since it is smaller than the sum of its proper divisors (226345164).

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

145506036 is a wasteful number, since it uses less digits than its factorization.

145506036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15888 (or 15886 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 145506036 is about 12062.5882794697. The cubic root of 145506036 is about 525.9692281535.

The spelling of 145506036 in words is "one hundred forty-five million, five hundred six thousand, thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 177 236 354 708 767 1534 2301 3068 4602 9204 15809 31618 47427 63236 94854 189708 205517 411034 616551 822068 932731 1233102 1865462 2466204 2798193 3730924 5596386 11192772 12125503 24251006 36376509 48502012 72753018 145506036