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42270000 = 243541409
BaseRepresentation
bin1010000100111…
…1110100110000
32221112112112120
42201033310300
541310120000
64105554240
71022201103
oct241176460
987475476
1042270000
1121951093
12121a5980
1389acb46
14588473a
153a9e6a0
hex284fd30

42270000 has 100 divisors (see below), whose sum is σ = 136550040. Its totient is φ = 11264000.

The previous prime is 42269999. The next prime is 42270001. The reversal of 42270000 is 7224.

It is an interprime number because it is at equal distance from previous prime (42269999) and next prime (42270001).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (42270001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29296 + ... + 30704.

Almost surely, 242270000 is an apocalyptic number.

42270000 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 42270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68275020).

42270000 is an abundant number, since it is smaller than the sum of its proper divisors (94280040).

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

42270000 is a wasteful number, since it uses less digits than its factorization.

42270000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 42270000 is about 6501.5382795151. The cubic root of 42270000 is about 348.3459368826.

Adding to 42270000 its reverse (7224), we get a palindrome (42277224).

The spelling of 42270000 in words is "forty-two million, two hundred seventy thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1409 1500 1875 2000 2500 2818 3000 3750 4227 5000 5636 6000 7045 7500 8454 10000 11272 14090 15000 16908 21135 22544 28180 30000 33816 35225 42270 56360 67632 70450 84540 105675 112720 140900 169080 176125 211350 281800 338160 352250 422700 528375 563600 704500 845400 880625 1056750 1409000 1690800 1761250 2113500 2641875 2818000 3522500 4227000 5283750 7045000 8454000 10567500 14090000 21135000 42270000