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42070720 = 265314241
BaseRepresentation
bin1010000001111…
…1001011000000
32221011102011211
42200133023000
541232230340
64101415504
71020411106
oct240371300
987142154
1042070720
112182539a
121210a594
138940223
145831c76
153a605ea
hex281f2c0

42070720 has 56 divisors (see below), whose sum is σ = 103436928. Its totient is φ = 16281600.

The previous prime is 42070673. The next prime is 42070723. The reversal of 42070720 is 2707024.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42070691 and 42070700.

It is not an unprimeable number, because it can be changed into a prime (42070723) 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, 7800 + ... + 12040.

It is an arithmetic number, because the mean of its divisors is an integer number (1847088).

Almost surely, 242070720 is an apocalyptic number.

42070720 is a gapful number since it is divisible by the number (40) 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 42070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51718464).

42070720 is an abundant number, since it is smaller than the sum of its proper divisors (61366208).

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

42070720 is a wasteful number, since it uses less digits than its factorization.

42070720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4289 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 42070720 is about 6486.1945700079. The cubic root of 42070720 is about 347.7976539802.

Adding to 42070720 its reverse (2707024), we get a palindrome (44777744).

The spelling of 42070720 in words is "forty-two million, seventy thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4241 4960 8482 9920 16964 21205 33928 42410 67856 84820 131471 135712 169640 262942 271424 339280 525884 657355 678560 1051768 1314710 1357120 2103536 2629420 4207072 5258840 8414144 10517680 21035360 42070720