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145324536 = 23371974391
BaseRepresentation
bin10001010100101…
…11100111111000
3101010110020210020
420222113213320
5244200341121
622230450440
73413144460
oct1052274770
9333406706
10145324536
1175039525
1240803a20
1324152a66
141542cba0
15cb591c6
hex8a979f8

145324536 has 64 divisors (see below), whose sum is σ = 417415680. Its totient is φ = 41301120.

The previous prime is 145324519. The next prime is 145324537. The reversal of 145324536 is 635423541.

It is a super-2 number, since 2×1453245362 = 42238441527230592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145324497 and 145324506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145324537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30901 + ... + 35291.

It is an arithmetic number, because the mean of its divisors is an integer number (6522120).

Almost surely, 2145324536 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 145324536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208707840).

145324536 is an abundant number, since it is smaller than the sum of its proper divisors (272091144).

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

145324536 is a wasteful number, since it uses less digits than its factorization.

145324536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 4600 counting only the distinct ones).

The product of its digits is 43200, while the sum is 33.

The square root of 145324536 is about 12055.0626709279. The cubic root of 145324536 is about 525.7504442510.

The spelling of 145324536 in words is "one hundred forty-five million, three hundred twenty-four thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 197 394 591 788 1182 1379 1576 2364 2758 4137 4391 4728 5516 8274 8782 11032 13173 16548 17564 26346 30737 33096 35128 52692 61474 92211 105384 122948 184422 245896 368844 737688 865027 1730054 2595081 3460108 5190162 6055189 6920216 10380324 12110378 18165567 20760648 24220756 36331134 48441512 72662268 145324536