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145530616 = 23711317621
BaseRepresentation
bin10001010110010…
…01111011111000
3101010211201110211
420223021323320
5244223434431
622235120504
73414663340
oct1053117370
9333751424
10145530616
117516a340
12408a3134
13241c57ba
1415483d20
15cb9a2b1
hex8ac9ef8

145530616 has 64 divisors (see below), whose sum is σ = 351221760. Its totient is φ = 54864000.

The previous prime is 145530611. The next prime is 145530631. The reversal of 145530616 is 616035541.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145530611) 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, 15286 + ... + 22906.

It is an arithmetic number, because the mean of its divisors is an integer number (5487840).

Almost surely, 2145530616 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 145530616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175610880).

145530616 is an abundant number, since it is smaller than the sum of its proper divisors (205691144).

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

145530616 is a wasteful number, since it uses less digits than its factorization.

145530616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7676 (or 7672 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The square root of 145530616 is about 12063.6070890924. The cubic root of 145530616 is about 525.9988434100.

The spelling of 145530616 in words is "one hundred forty-five million, five hundred thirty thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 616 682 868 1364 1736 2387 2728 4774 7621 9548 15242 19096 30484 53347 60968 83831 106694 167662 213388 236251 335324 426776 472502 586817 670648 945004 1173634 1653757 1890008 2347268 2598761 3307514 4694536 5197522 6615028 10395044 13230056 18191327 20790088 36382654 72765308 145530616