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145022976 = 213327281
BaseRepresentation
bin10001010010011…
…10000000000000
3101002212221010100
420221032000000
5244111213401
622220202400
73410450340
oct1051160000
9332787110
10145022976
11749529aa
1240699400
1324078717
1415390d20
15cae9b86
hex8a4e000

145022976 has 168 divisors, whose sum is σ = 480480624. Its totient is φ = 41287680.

The previous prime is 145022963. The next prime is 145022989. The reversal of 145022976 is 679220541.

It is an interprime number because it is at equal distance from previous prime (145022963) and next prime (145022989).

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a self number, because there is not a number n which added to its sum of digits gives 145022976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 515956 + ... + 516236.

Almost surely, 2145022976 is an apocalyptic number.

145022976 is a gapful number since it is divisible by the number (16) 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 145022976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240240312).

145022976 is an abundant number, since it is smaller than the sum of its proper divisors (335457648).

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

145022976 is an equidigital number, since it uses as much as digits as its factorization.

145022976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 145022976 is about 12042.5485674752. The cubic root of 145022976 is about 525.3865343895.

The spelling of 145022976 in words is "one hundred forty-five million, twenty-two thousand, nine hundred seventy-six".