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145287870 = 235713192801
BaseRepresentation
bin10001010100011…
…10101010111110
3101010101101111020
420222032222332
5244143202440
622230005010
73412632540
oct1052165276
9333341436
10145287870
1175013a22
12407a6766
132413c170
141541d690
15cb4d3d0
hex8a8eabe

145287870 has 128 divisors (see below), whose sum is σ = 451906560. Its totient is φ = 29030400.

The previous prime is 145287853. The next prime is 145287871. The reversal of 145287870 is 78782541.

It is a super-2 number, since 2×1452878702 = 42217130338273800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145287871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50470 + ... + 53270.

It is an arithmetic number, because the mean of its divisors is an integer number (3530520).

Almost surely, 2145287870 is an apocalyptic number.

145287870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145287870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225953280).

145287870 is an abundant number, since it is smaller than the sum of its proper divisors (306618690).

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

145287870 is a wasteful number, since it uses less digits than its factorization.

145287870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850.

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 145287870 is about 12053.5418031382. The cubic root of 145287870 is about 525.7062241723.

The spelling of 145287870 in words is "one hundred forty-five million, two hundred eighty-seven thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 19 21 26 30 35 38 39 42 57 65 70 78 91 95 105 114 130 133 182 190 195 210 247 266 273 285 390 399 455 494 546 570 665 741 798 910 1235 1330 1365 1482 1729 1995 2470 2730 2801 3458 3705 3990 5187 5602 7410 8403 8645 10374 14005 16806 17290 19607 25935 28010 36413 39214 42015 51870 53219 58821 72826 84030 98035 106438 109239 117642 159657 182065 196070 218478 254891 266095 294105 319314 364130 372533 509782 532190 546195 588210 691847 745066 764673 798285 1092390 1117599 1274455 1383694 1529346 1596570 1862665 2075541 2235198 2548910 3459235 3725330 3823365 4151082 4842929 5587995 6918470 7646730 9685858 10377705 11175990 14528787 20755410 24214645 29057574 48429290 72643935 145287870