Search a number
-
+
145152024 = 23322972633
BaseRepresentation
bin10001010011011…
…01100000011000
3101010010111010220
420221231200120
5244124331044
622223040040
73411525513
oct1051554030
9333114126
10145152024
1174a30956
1240740020
13240c2394
14153c5d7a
15cb23019
hex8a6d818

145152024 has 32 divisors (see below), whose sum is σ = 363175920. Its totient is φ = 48344576.

The previous prime is 145152023. The next prime is 145152037. The reversal of 145152024 is 420251541.

It is a super-2 number, since 2×1451520242 = 42138220142593152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 145151985 and 145152003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145152023) 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 7 ways as a sum of consecutive naturals, for example, 53812 + ... + 56444.

Almost surely, 2145152024 is an apocalyptic number.

It is an amenable number.

145152024 is an abundant number, since it is smaller than the sum of its proper divisors (218023896).

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

145152024 is a wasteful number, since it uses less digits than its factorization.

145152024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4939 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 145152024 is about 12047.9053781145. The cubic root of 145152024 is about 525.5423257516.

The spelling of 145152024 in words is "one hundred forty-five million, one hundred fifty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 2297 2633 4594 5266 6891 7899 9188 10532 13782 15798 18376 21064 27564 31596 55128 63192 6048001 12096002 18144003 24192004 36288006 48384008 72576012 145152024