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145909836 = 2235433491
BaseRepresentation
bin10001011001001…
…10100001001100
3101011112222200000
420230212201030
5244323103321
622251204300
73421133052
oct1054464114
9334488600
10145909836
11753a9246
1240a46690
13242c92a7
14155421d2
15cc22826
hex8b2684c

145909836 has 72 divisors (see below), whose sum is σ = 391495104. Its totient is φ = 47491920.

The previous prime is 145909789. The next prime is 145909837. The reversal of 145909836 is 638909541.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 145909791 and 145909800.

It is not an unprimeable number, because it can be changed into a prime (145909837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40051 + ... + 43541.

It is an arithmetic number, because the mean of its divisors is an integer number (5437432).

Almost surely, 2145909836 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 145909836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195747552).

145909836 is an abundant number, since it is smaller than the sum of its proper divisors (245585268).

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

145909836 is a wasteful number, since it uses less digits than its factorization.

145909836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 145909836 is about 12079.3143845170. The cubic root of 145909836 is about 526.4553253057.

The spelling of 145909836 in words is "one hundred forty-five million, nine hundred nine thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 243 258 324 387 486 516 774 972 1161 1548 2322 3483 3491 4644 6966 6982 10449 10473 13932 13964 20898 20946 31419 41796 41892 62838 94257 125676 150113 188514 282771 300226 377028 450339 565542 600452 848313 900678 1131084 1351017 1696626 1801356 2702034 3393252 4053051 5404068 8106102 12159153 16212204 24318306 36477459 48636612 72954918 145909836