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145526106 = 231123372591
BaseRepresentation
bin10001010110010…
…00110101011010
3101010211111021210
420223020311122
5244223313411
622235043550
73414644235
oct1053106532
9333744253
10145526106
1175166a10
12408a05b6
13241c372b
141548241c
15cb98ca6
hex8ac8d5a

145526106 has 64 divisors (see below), whose sum is σ = 340402176. Its totient is φ = 41025600.

The previous prime is 145526081. The next prime is 145526107. The reversal of 145526106 is 601625541.

It is not an unprimeable number, because it can be changed into a prime (145526107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54871 + ... + 57461.

It is an arithmetic number, because the mean of its divisors is an integer number (5318784).

Almost surely, 2145526106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145526106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170201088).

145526106 is an abundant number, since it is smaller than the sum of its proper divisors (194876070).

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

145526106 is a wasteful number, since it uses less digits than its factorization.

145526106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667.

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 145526106 is about 12063.4201617949. The cubic root of 145526106 is about 525.9934097783.

The spelling of 145526106 in words is "one hundred forty-five million, five hundred twenty-six thousand, one hundred six".

Divisors: 1 2 3 6 11 22 23 33 37 46 66 69 74 111 138 222 253 407 506 759 814 851 1221 1518 1702 2442 2553 2591 5106 5182 7773 9361 15546 18722 28083 28501 56166 57002 59593 85503 95867 119186 171006 178779 191734 287601 357558 575202 655523 1054537 1311046 1966569 2109074 2204941 3163611 3933138 4409882 6327222 6614823 13229646 24254351 48508702 72763053 145526106