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42099240 = 23353111317
BaseRepresentation
bin1010000010011…
…0001000101000
32221012212022010
42200212020220
541234133430
64102155520
71020560211
oct240461050
987185263
1042099240
1121844867
1212122ba0
1389501c1
14583c408
153a68cb0
hex2826228

42099240 has 64 divisors (see below), whose sum is σ = 130383360. Its totient is φ = 10863360.

The previous prime is 42099227. The next prime is 42099287. The reversal of 42099240 is 4299024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42099198 and 42099207.

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, 1939 + ... + 9378.

It is an arithmetic number, because the mean of its divisors is an integer number (2037240).

Almost surely, 242099240 is an apocalyptic number.

42099240 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 42099240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65191680).

42099240 is an abundant number, since it is smaller than the sum of its proper divisors (88284120).

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

42099240 is a wasteful number, since it uses less digits than its factorization.

42099240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11362 (or 11358 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 42099240 is about 6488.3927131455. The cubic root of 42099240 is about 347.8762276177.

The spelling of 42099240 in words is "forty-two million, ninety-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 11317 22634 33951 45268 56585 67902 90536 113170 135804 169755 226340 271608 339510 350827 452680 679020 701654 1052481 1358040 1403308 1754135 2104962 2806616 3508270 4209924 5262405 7016540 8419848 10524810 14033080 21049620 42099240