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42115020 = 22351936943
BaseRepresentation
bin1010000010100…
…1111111001100
32221020122221120
42200221333030
541240140040
64102400540
71020654213
oct240517714
987218846
1042115020
1121855702
1212130150
13895743c
14584407a
153a6d7d0
hex2829fcc

42115020 has 48 divisors (see below), whose sum is σ = 124131840. Its totient is φ = 10639296.

The previous prime is 42115009. The next prime is 42115027. The reversal of 42115020 is 2051124.

42115020 = T2096 + T2097 + ... + T2114.

42115020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (42115027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17332 + ... + 19611.

It is an arithmetic number, because the mean of its divisors is an integer number (2586080).

Almost surely, 242115020 is an apocalyptic number.

It is an amenable number.

42115020 is an abundant number, since it is smaller than the sum of its proper divisors (82016820).

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

42115020 is a wasteful number, since it uses less digits than its factorization.

42115020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36974 (or 36972 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 42115020 is about 6489.6086168582. The cubic root of 42115020 is about 347.9196868436.

Adding to 42115020 its reverse (2051124), we get a palindrome (44166144).

The spelling of 42115020 in words is "forty-two million, one hundred fifteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 36943 73886 110829 147772 184715 221658 369430 443316 554145 701917 738860 1108290 1403834 2105751 2216580 2807668 3509585 4211502 7019170 8423004 10528755 14038340 21057510 42115020