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146787420 = 223513188189
BaseRepresentation
bin10001011111111…
…00110001011100
3101020012120111010
420233330301130
5300034144140
622322055220
73431446443
oct1057746134
9336176433
10146787420
117594861a
12411aa510
1324545880
14156cdd5a
15cd47880
hex8bfcc5c

146787420 has 48 divisors (see below), whose sum is σ = 442622880. Its totient is φ = 36132096.

The previous prime is 146787413. The next prime is 146787467. The reversal of 146787420 is 24787641.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93315 + ... + 94874.

It is an arithmetic number, because the mean of its divisors is an integer number (9221310).

Almost surely, 2146787420 is an apocalyptic number.

146787420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146787420 is an abundant number, since it is smaller than the sum of its proper divisors (295835460).

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

146787420 is a wasteful number, since it uses less digits than its factorization.

146787420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188214 (or 188212 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 146787420 is about 12115.5858298309. The cubic root of 146787420 is about 527.5086826510.

The spelling of 146787420 in words is "one hundred forty-six million, seven hundred eighty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 188189 376378 564567 752756 940945 1129134 1881890 2258268 2446457 2822835 3763780 4892914 5645670 7339371 9785828 11291340 12232285 14678742 24464570 29357484 36696855 48929140 73393710 146787420