Search a number
-
+
145360716 = 223193717231
BaseRepresentation
bin10001010101000…
…00011101001100
3101010112002102020
420222200131030
5244203020331
622231330140
73413355114
oct1052403514
9333462366
10145360716
1175063726
1240820950
1324166377
141543c044
15cb64c96
hex8aa074c

145360716 has 48 divisors (see below), whose sum is σ = 366696960. Its totient is φ = 44660160.

The previous prime is 145360687. The next prime is 145360717. The reversal of 145360716 is 617063541.

It is a super-2 number, since 2×1453607162 = 42259475512065312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145360717) 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 15 ways as a sum of consecutive naturals, for example, 180 + ... + 17051.

It is an arithmetic number, because the mean of its divisors is an integer number (7639520).

Almost surely, 2145360716 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 145360716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183348480).

145360716 is an abundant number, since it is smaller than the sum of its proper divisors (221336244).

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

145360716 is a wasteful number, since it uses less digits than its factorization.

145360716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17294 (or 17292 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 145360716 is about 12056.5631918885. The cubic root of 145360716 is about 525.7940709118.

The spelling of 145360716 in words is "one hundred forty-five million, three hundred sixty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 444 703 1406 2109 2812 4218 8436 17231 34462 51693 68924 103386 206772 327389 637547 654778 982167 1275094 1309556 1912641 1964334 2550188 3825282 3928668 7650564 12113393 24226786 36340179 48453572 72680358 145360716