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145958436 = 22351311551
BaseRepresentation
bin10001011001100…
…10011000100100
3101011122110100000
420230302120210
5244331132221
622252221300
73421424541
oct1054623044
9334573300
10145958436
1175431808
1240a6a830
1324315450
1415555bc8
15cc31e26
hex8b32624

145958436 has 72 divisors (see below), whose sum is σ = 412082944. Its totient is φ = 44906400.

The previous prime is 145958429. The next prime is 145958441. The reversal of 145958436 is 634859541.

145958436 is a `hidden beast` number, since 14 + 59 + 584 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145958391 and 145958400.

It is an unprimeable number.

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, 6861 + ... + 18411.

Almost surely, 2145958436 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 145958436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206041472).

145958436 is an abundant number, since it is smaller than the sum of its proper divisors (266124508).

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

145958436 is a wasteful number, since it uses less digits than its factorization.

145958436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11583 (or 11569 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 145958436 is about 12081.3259206099. The cubic root of 145958436 is about 526.5137698203.

It can be divided in two parts, 1459 and 58436, that added together give a palindrome (59895).

The spelling of 145958436 in words is "one hundred forty-five million, nine hundred fifty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 6318 11551 12636 23102 34653 46204 69306 103959 138612 150163 207918 300326 311877 415836 450489 600652 623754 900978 935631 1247508 1351467 1801956 1871262 2702934 2806893 3742524 4054401 5405868 5613786 8108802 11227572 12163203 16217604 24326406 36489609 48652812 72979218 145958436