Search a number
-
+
145012064 = 2529307509
BaseRepresentation
bin10001010010010…
…11010101100000
3101002212101011012
420221023111200
5244110341224
622220040052
73410403461
oct1051132540
9332771135
10145012064
117494578a
1240693028
1324073772
141538ad68
15cae680e
hex8a4b560

145012064 has 48 divisors (see below), whose sum is σ = 296881200. Its totient is φ = 69640704.

The previous prime is 145012051. The next prime is 145012097. The reversal of 145012064 is 460210541.

It is a congruent number.

It is an unprimeable number.

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, 284642 + ... + 285150.

It is an arithmetic number, because the mean of its divisors is an integer number (6185025).

Almost surely, 2145012064 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 145012064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148440600).

145012064 is an abundant number, since it is smaller than the sum of its proper divisors (151869136).

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

145012064 is a wasteful number, since it uses less digits than its factorization.

145012064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 145012064 is about 12042.0954987079. The cubic root of 145012064 is about 525.3733567956.

The spelling of 145012064 in words is "one hundred forty-five million, twelve thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 58 116 232 307 464 509 614 928 1018 1228 2036 2456 4072 4912 8144 8903 9824 14761 16288 17806 29522 35612 59044 71224 118088 142448 156263 236176 284896 312526 472352 625052 1250104 2500208 4531627 5000416 9063254 18126508 36253016 72506032 145012064