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14146040 = 2351771293
BaseRepresentation
bin110101111101…
…100111111000
3222121200201102
4311331213320
512110133130
61223110532
7231145046
oct65754770
928550642
1014146040
117a92147
1248a2448
132c13a4c
141c43396
151396645
hexd7d9f8

14146040 has 64 divisors (see below), whose sum is σ = 34292160. Its totient is φ = 5232640.

The previous prime is 14146031. The next prime is 14146049. The reversal of 14146040 is 4064141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14146031) and next prime (14146049).

It is a super-2 number, since 2×141460402 = 400220895363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14146049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48134 + ... + 48426.

It is an arithmetic number, because the mean of its divisors is an integer number (535815).

Almost surely, 214146040 is an apocalyptic number.

14146040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14146040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146080).

14146040 is an abundant number, since it is smaller than the sum of its proper divisors (20146120).

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

14146040 is a wasteful number, since it uses less digits than its factorization.

14146040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 14146040 is about 3761.1221729691. The cubic root of 14146040 is about 241.8493700962.

The spelling of 14146040 in words is "fourteen million, one hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 71 85 136 142 170 284 293 340 355 568 586 680 710 1172 1207 1420 1465 2344 2414 2840 2930 4828 4981 5860 6035 9656 9962 11720 12070 19924 20803 24140 24905 39848 41606 48280 49810 83212 99620 104015 166424 199240 208030 353651 416060 707302 832120 1414604 1768255 2829208 3536510 7073020 14146040