Search a number
-
+
145803708 = 223241173571
BaseRepresentation
bin10001011000011…
…00100110111100
3101011100121002100
420230030212330
5244311204313
622245025100
73420211461
oct1054144674
9334317070
10145803708
1175336536
12409b5190
132428cbab
1415515668
15cc01173
hex8b0c9bc

145803708 has 72 divisors (see below), whose sum is σ = 380396016. Its totient is φ = 47059200.

The previous prime is 145803673. The next prime is 145803719. The reversal of 145803708 is 807308541.

145803708 is a `hidden beast` number, since 1 + 4 + 580 + 3 + 70 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255063 + ... + 255633.

It is an arithmetic number, because the mean of its divisors is an integer number (5283278).

Almost surely, 2145803708 is an apocalyptic number.

145803708 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145803708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190198008).

145803708 is an abundant number, since it is smaller than the sum of its proper divisors (234592308).

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

145803708 is a wasteful number, since it uses less digits than its factorization.

145803708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 145803708 is about 12074.9206208571. The cubic root of 145803708 is about 526.3276546750.

The spelling of 145803708 in words is "one hundred forty-five million, eight hundred three thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 173 246 346 369 492 519 571 692 738 1038 1142 1476 1557 1713 2076 2284 3114 3426 5139 6228 6852 7093 10278 14186 20556 21279 23411 28372 42558 46822 63837 70233 85116 93644 98783 127674 140466 197566 210699 255348 280932 296349 395132 421398 592698 842796 889047 1185396 1778094 3556188 4050103 8100206 12150309 16200412 24300618 36450927 48601236 72901854 145803708