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145719072 = 2532505969
BaseRepresentation
bin10001010111101…
…11111100100000
3101011012021222200
420223313330200
5244301002242
622243133200
73416406642
oct1053677440
9334167880
10145719072
1175288994
1240974200
1324260505
14154d2892
15cbd604c
hex8af7f20

145719072 has 36 divisors (see below), whose sum is σ = 414389430. Its totient is φ = 48572928.

The previous prime is 145719059. The next prime is 145719073. The reversal of 145719072 is 270917541.

It is a happy number.

145719072 is a `hidden beast` number, since 14 + 571 + 9 + 0 + 72 = 666.

145719072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 144865296 + 853776 = 12036^2 + 924^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (145719073) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 252697 + ... + 253272.

Almost surely, 2145719072 is an apocalyptic number.

145719072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145719072 is an abundant number, since it is smaller than the sum of its proper divisors (268670358).

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

145719072 is a wasteful number, since it uses less digits than its factorization.

145719072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505985 (or 505974 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 145719072 is about 12071.4154928078. The cubic root of 145719072 is about 526.2257942350.

The spelling of 145719072 in words is "one hundred forty-five million, seven hundred nineteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 505969 1011938 1517907 2023876 3035814 4047752 4553721 6071628 8095504 9107442 12143256 16191008 18214884 24286512 36429768 48573024 72859536 145719072