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145617072 = 2433033689
BaseRepresentation
bin10001010110111…
…11000010110000
3101011000010001220
420223133002300
5244234221242
622241025040
73415503366
oct1053370260
9334003056
10145617072
1175219297
1240925180
1324225c63
14154a7636
15cbb5bec
hex8adf0b0

145617072 has 20 divisors (see below), whose sum is σ = 376177560. Its totient is φ = 48539008.

The previous prime is 145617061. The next prime is 145617097. The reversal of 145617072 is 270716541.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1516797 + ... + 1516892.

It is an arithmetic number, because the mean of its divisors is an integer number (18808878).

Almost surely, 2145617072 is an apocalyptic number.

145617072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145617072 is an abundant number, since it is smaller than the sum of its proper divisors (230560488).

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

145617072 is a wasteful number, since it uses less digits than its factorization.

145617072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033700 (or 3033694 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 145617072 is about 12067.1898965749. The cubic root of 145617072 is about 526.1029835900.

It can be divided in two parts, 1456 and 17072, that added together give a triangular number (18528 = T192).

The spelling of 145617072 in words is "one hundred forty-five million, six hundred seventeen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 3033689 6067378 9101067 12134756 18202134 24269512 36404268 48539024 72808536 145617072