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42115620 = 22353761311
BaseRepresentation
bin1010000010101…
…0001000100100
32221020200202210
42200222020210
541240144440
64102403420
71020656031
oct240521044
987220683
1042115620
11218560a8
1212130570
1389577b1
145844388
153a6da80
hex282a224

42115620 has 96 divisors (see below), whose sum is σ = 123492096. Its totient is φ = 10713600.

The previous prime is 42115607. The next prime is 42115637. The reversal of 42115620 is 2651124.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135265 + ... + 135575.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 242115620 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 42115620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61746048).

42115620 is an abundant number, since it is smaller than the sum of its proper divisors (81376476).

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

42115620 is a wasteful number, since it uses less digits than its factorization.

42115620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 42115620 is about 6489.6548444428. The cubic root of 42115620 is about 347.9213390714.

Adding to 42115620 its reverse (2651124), we get a palindrome (44766744).

The spelling of 42115620 in words is "forty-two million, one hundred fifteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 61 74 111 122 148 183 185 222 244 305 311 366 370 444 555 610 622 732 740 915 933 1110 1220 1244 1555 1830 1866 2220 2257 3110 3660 3732 4514 4665 6220 6771 9028 9330 11285 11507 13542 18660 18971 22570 23014 27084 33855 34521 37942 45140 46028 56913 57535 67710 69042 75884 94855 113826 115070 135420 138084 172605 189710 227652 230140 284565 345210 379420 569130 690420 701927 1138260 1403854 2105781 2807708 3509635 4211562 7019270 8423124 10528905 14038540 21057810 42115620