Search a number
-
+
145719306 = 23223523673
BaseRepresentation
bin10001010111110…
…00000000001010
3101011012022022100
420223320000022
5244301004211
622243134230
73416410425
oct1053700012
9334168270
10145719306
1175289087
1240974376
1324260655
14154d29bc
15cbd6156
hex8af800a

145719306 has 48 divisors (see below), whose sum is σ = 330572736. Its totient is φ = 46303488.

The previous prime is 145719271. The next prime is 145719307. The reversal of 145719306 is 603917541.

It is a super-2 number, since 2×1457193062 = 42468232282243272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (145719307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 216186 + ... + 216858.

It is an arithmetic number, because the mean of its divisors is an integer number (6886932).

Almost surely, 2145719306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145719306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165286368).

145719306 is an abundant number, since it is smaller than the sum of its proper divisors (184853430).

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

145719306 is a wasteful number, since it uses less digits than its factorization.

145719306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 145719306 is about 12071.4251851221. The cubic root of 145719306 is about 526.2260759111.

The spelling of 145719306 in words is "one hundred forty-five million, seven hundred nineteen thousand, three hundred six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 523 673 1046 1346 1569 2019 3138 4038 4707 6057 9414 12029 12114 15479 24058 30958 36087 46437 72174 92874 108261 139311 216522 278622 351979 703958 1055937 2111874 3167811 6335622 8095517 16191034 24286551 48573102 72859653 145719306