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42151560 = 23351122903
BaseRepresentation
bin1010000011001…
…0111010001000
32221022112001220
42200302322020
541242322220
64103242040
71021165563
oct240627210
987275056
1042151560
1121880100
1212149320
13896ac69
1458534da
153a79540
hex2832e88

42151560 has 96 divisors (see below), whose sum is σ = 139043520. Its totient is φ = 10215040.

The previous prime is 42151559. The next prime is 42151561. The reversal of 42151560 is 6515124.

It is an interprime number because it is at equal distance from previous prime (42151559) and next prime (42151561).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42151560.

It is not an unprimeable number, because it can be changed into a prime (42151561) 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, 13069 + ... + 15971.

It is an arithmetic number, because the mean of its divisors is an integer number (1448370).

Almost surely, 242151560 is an apocalyptic number.

42151560 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 42151560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69521760).

42151560 is an abundant number, since it is smaller than the sum of its proper divisors (96891960).

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

42151560 is a wasteful number, since it uses less digits than its factorization.

42151560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 42151560 is about 6492.4232764046. The cubic root of 42151560 is about 348.0202789081.

Adding to 42151560 its reverse (6515124), we get a palindrome (48666684).

It can be divided in two parts, 4215 and 1560, that added together give a palindrome (5775).

The spelling of 42151560 in words is "forty-two million, one hundred fifty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2903 2904 3630 4840 5806 7260 8709 11612 14515 14520 17418 23224 29030 31933 34836 43545 58060 63866 69672 87090 95799 116120 127732 159665 174180 191598 255464 319330 348360 351263 383196 478995 638660 702526 766392 957990 1053789 1277320 1405052 1756315 1915980 2107578 2810104 3512630 3831960 4215156 5268945 7025260 8430312 10537890 14050520 21075780 42151560