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42432720 = 24351116073
BaseRepresentation
bin1010000111011…
…1100011010000
32221211210202020
42201313203100
541330321340
64113251440
71023446361
oct241674320
987753666
1042432720
1121a52370
1212263b80
138a38c25
1458c7b68
153ad29d0
hex28778d0

42432720 has 80 divisors (see below), whose sum is σ = 143508672. Its totient is φ = 10286080.

The previous prime is 42432703. The next prime is 42432721. The reversal of 42432720 is 2723424.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42432721) 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, 5397 + ... + 10676.

Almost surely, 242432720 is an apocalyptic number.

42432720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42432720 is an abundant number, since it is smaller than the sum of its proper divisors (101075952).

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

42432720 is a wasteful number, since it uses less digits than its factorization.

42432720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16100 (or 16094 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 42432720 is about 6514.0402209382. The cubic root of 42432720 is about 348.7923549232.

The spelling of 42432720 in words is "forty-two million, four hundred thirty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 16073 32146 48219 64292 80365 96438 128584 160730 176803 192876 241095 257168 321460 353606 385752 482190 530409 642920 707212 771504 884015 964380 1060818 1285840 1414424 1768030 1928760 2121636 2652045 2828848 3536060 3857520 4243272 5304090 7072120 8486544 10608180 14144240 21216360 42432720