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146900064 = 2533741357
BaseRepresentation
bin10001100000110…
…00010001100000
3101020102022000010
420300120101200
5300101300224
622324324520
73432426033
oct1060302140
9336368003
10146900064
1175a15213
1241243740
1324584c1c
141571d01a
15cd6ae29
hex8c18460

146900064 has 48 divisors (see below), whose sum is σ = 396044208. Its totient is φ = 47642112.

The previous prime is 146900053. The next prime is 146900069. The reversal of 146900064 is 460009641.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146900069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17127 + ... + 24230.

It is an arithmetic number, because the mean of its divisors is an integer number (8250921).

Almost surely, 2146900064 is an apocalyptic number.

It is an amenable number.

146900064 is an abundant number, since it is smaller than the sum of its proper divisors (249144144).

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

146900064 is a wasteful number, since it uses less digits than its factorization.

146900064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41407 (or 41399 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 146900064 is about 12120.2336611140. The cubic root of 146900064 is about 527.6435840724.

The spelling of 146900064 in words is "one hundred forty-six million, nine hundred thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 41357 82714 124071 165428 248142 330856 496284 661712 992568 1323424 1530209 1985136 3060418 3970272 4590627 6120836 9181254 12241672 18362508 24483344 36725016 48966688 73450032 146900064