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145764064 = 2523732713
BaseRepresentation
bin10001011000000…
…10111011100000
3101011021120201001
420230002323200
5244303422224
622244121344
73416655055
oct1054027340
9334246631
10145764064
1175309776
1240996254
1324277b34
141550502c
15cbe4544
hex8b02ee0

145764064 has 48 divisors (see below), whose sum is σ = 303664032. Its totient is φ = 68732928.

The previous prime is 145764049. The next prime is 145764083. The reversal of 145764064 is 460467541.

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, 52372 + ... + 55084.

It is an arithmetic number, because the mean of its divisors is an integer number (6326334).

Almost surely, 2145764064 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 145764064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151832016).

145764064 is an abundant number, since it is smaller than the sum of its proper divisors (157899968).

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

145764064 is a wasteful number, since it uses less digits than its factorization.

145764064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The square root of 145764064 is about 12073.2789249648. The cubic root of 145764064 is about 526.2799475550.

The spelling of 145764064 in words is "one hundred forty-five million, seven hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 23 32 46 73 92 146 184 292 368 584 736 1168 1679 2336 2713 3358 5426 6716 10852 13432 21704 26864 43408 53728 62399 86816 124798 198049 249596 396098 499192 792196 998384 1584392 1996768 3168784 4555127 6337568 9110254 18220508 36441016 72882032 145764064