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146244064 = 25171914149
BaseRepresentation
bin10001011011110…
…00000111100000
3101012011222010211
420231320013200
5244414302224
622302303504
73424024351
oct1055700740
9335158124
10146244064
117560736a
1240b87b94
13243b5465
14155cbd28
15cc8b894
hex8b781e0

146244064 has 48 divisors (see below), whose sum is σ = 320922000. Its totient is φ = 65193984.

The previous prime is 146244041. The next prime is 146244079. The reversal of 146244064 is 460442641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3262 + ... + 17410.

It is an arithmetic number, because the mean of its divisors is an integer number (6685875).

Almost surely, 2146244064 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 146244064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160461000).

146244064 is an abundant number, since it is smaller than the sum of its proper divisors (174677936).

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

146244064 is a wasteful number, since it uses less digits than its factorization.

146244064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14195 (or 14187 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 146244064 is about 12093.1411965626. The cubic root of 146244064 is about 526.8569932920.

The spelling of 146244064 in words is "one hundred forty-six million, two hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 5168 10336 14149 28298 56596 113192 226384 240533 268831 452768 481066 537662 962132 1075324 1924264 2150648 3848528 4301296 4570127 7697056 8602592 9140254 18280508 36561016 73122032 146244064