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42141760 = 265791667
BaseRepresentation
bin1010000011000…
…0100001000000
32221022000121221
42200300201000
541242014020
64103124424
71021125163
oct240604100
987260557
1042141760
1121873801
1212143714
13896666b
14584dada
153a766aa
hex2830840

42141760 has 56 divisors (see below), whose sum is σ = 101681280. Its totient is φ = 16633344.

The previous prime is 42141739. The next prime is 42141769. The reversal of 42141760 is 6714124.

It is not an unprimeable number, because it can be changed into a prime (42141769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24447 + ... + 26113.

Almost surely, 242141760 is an apocalyptic number.

42141760 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 42141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50840640).

42141760 is an abundant number, since it is smaller than the sum of its proper divisors (59539520).

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

42141760 is a wasteful number, since it uses less digits than its factorization.

42141760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 42141760 is about 6491.6685066322. The cubic root of 42141760 is about 347.9933059002.

Adding to 42141760 its reverse (6714124), we get a palindrome (48855884).

The spelling of 42141760 in words is "forty-two million, one hundred forty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 158 160 316 320 395 632 790 1264 1580 1667 2528 3160 3334 5056 6320 6668 8335 12640 13336 16670 25280 26672 33340 53344 66680 106688 131693 133360 263386 266720 526772 533440 658465 1053544 1316930 2107088 2633860 4214176 5267720 8428352 10535440 21070880 42141760