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42040080 = 2433519463
BaseRepresentation
bin1010000001011…
…1101100010000
32221002212011000
42200113230100
541230240310
64101022000
71020222555
oct240275420
987085130
1042040080
1121804375
12120b4900
13892c2b4
145824a2c
153a564c0
hex2817b10

42040080 has 80 divisors (see below), whose sum is σ = 144812160. Its totient is φ = 11210112.

The previous prime is 42040069. The next prime is 42040093. The reversal of 42040080 is 8004024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 7572 + ... + 11891.

It is an arithmetic number, because the mean of its divisors is an integer number (1810152).

Almost surely, 242040080 is an apocalyptic number.

42040080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42040080 is an abundant number, since it is smaller than the sum of its proper divisors (102772080).

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

42040080 is a wasteful number, since it uses less digits than its factorization.

42040080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19485 (or 19473 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42040080 is about 6483.8322001730. The cubic root of 42040080 is about 347.7132000876.

The spelling of 42040080 in words is "forty-two million, forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 19463 38926 58389 77852 97315 116778 155704 175167 194630 233556 291945 311408 350334 389260 467112 525501 583890 700668 778520 875835 934224 1051002 1167780 1401336 1557040 1751670 2102004 2335560 2627505 2802672 3503340 4204008 4671120 5255010 7006680 8408016 10510020 14013360 21020040 42040080