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145683032 = 2311219892
BaseRepresentation
bin10001010111011…
…11001001011000
3101011010110112212
420223233021120
5244243324112
622242254252
73416166605
oct1053571130
9334113485
10145683032
1175263900
1240957388
1324249ca1
14154c36ac
15cbca522
hex8aef258

145683032 has 72 divisors (see below), whose sum is σ = 319638900. Its totient is φ = 62029440.

The previous prime is 145683029. The next prime is 145683053. The reversal of 145683032 is 230386541.

145683032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145683032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1636844 + ... + 1636932.

Almost surely, 2145683032 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 145683032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159819450).

145683032 is an abundant number, since it is smaller than the sum of its proper divisors (173955868).

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

145683032 is a wasteful number, since it uses less digits than its factorization.

145683032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 145683032 is about 12069.9226178133. The cubic root of 145683032 is about 526.1824076896.

The spelling of 145683032 in words is "one hundred forty-five million, six hundred eighty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 89 121 152 178 209 242 356 418 484 712 836 968 979 1672 1691 1958 2299 3382 3916 4598 6764 7832 7921 9196 10769 13528 15842 18392 18601 21538 31684 37202 43076 63368 74404 86152 87131 148808 150499 174262 204611 300998 348524 409222 601996 697048 818444 958441 1203992 1636888 1655489 1916882 3310978 3833764 6621956 7667528 13243912 18210379 36420758 72841516 145683032