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42335020 = 22572133323
BaseRepresentation
bin1010000101111…
…1101100101100
32221122211201201
42201133230230
541314210040
64111215244
71022561500
oct241375454
987584651
1042335020
1121995a22
1212217524
138a03610
1458a0300
153ab3a9a
hex285fb2c

42335020 has 72 divisors (see below), whose sum is σ = 111407184. Its totient is φ = 13394304.

The previous prime is 42335017. The next prime is 42335023. The reversal of 42335020 is 2053324.

It is an interprime number because it is at equal distance from previous prime (42335017) and next prime (42335023).

It is not an unprimeable number, because it can be changed into a prime (42335023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11079 + ... + 14401.

It is an arithmetic number, because the mean of its divisors is an integer number (1547322).

Almost surely, 242335020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42335020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55703592).

42335020 is an abundant number, since it is smaller than the sum of its proper divisors (69072164).

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

42335020 is a wasteful number, since it uses less digits than its factorization.

42335020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3359 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 42335020 is about 6506.5367131831. The cubic root of 42335020 is about 348.5244547404.

Adding to 42335020 its reverse (2053324), we get a palindrome (44388344).

The spelling of 42335020 in words is "forty-two million, three hundred thirty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 3323 6370 6646 12740 13292 16615 23261 33230 43199 46522 66460 86398 93044 116305 162827 172796 215995 232610 302393 325654 431990 465220 604786 651308 814135 863980 1209572 1511965 1628270 2116751 3023930 3256540 4233502 6047860 8467004 10583755 21167510 42335020