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42106260 = 22357293457
BaseRepresentation
bin1010000010011…
…1110110010100
32221020012221010
42200213312110
541234400020
64102252220
71020616530
oct240476624
987205833
1042106260
112184a069
1212127070
138953461
145840bc0
153a6ade0
hex2827d94

42106260 has 96 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 9289728.

The previous prime is 42106249. The next prime is 42106271. The reversal of 42106260 is 6260124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42106249) and next prime (42106271).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 10452 + ... + 13908.

It is an arithmetic number, because the mean of its divisors is an integer number (1452360).

Almost surely, 242106260 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 42106260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713280).

42106260 is an abundant number, since it is smaller than the sum of its proper divisors (97320300).

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

42106260 is a wasteful number, since it uses less digits than its factorization.

42106260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 42106260 is about 6488.9336566188. The cubic root of 42106260 is about 347.8955625304.

Adding to 42106260 its reverse (6260124), we get a palindrome (48366384).

The spelling of 42106260 in words is "forty-two million, one hundred six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 58 60 70 84 87 105 116 140 145 174 203 210 290 348 406 420 435 580 609 812 870 1015 1218 1740 2030 2436 3045 3457 4060 6090 6914 10371 12180 13828 17285 20742 24199 34570 41484 48398 51855 69140 72597 96796 100253 103710 120995 145194 200506 207420 241990 290388 300759 362985 401012 483980 501265 601518 701771 725970 1002530 1203036 1403542 1451940 1503795 2005060 2105313 2807084 3007590 3508855 4210626 6015180 7017710 8421252 10526565 14035420 21053130 42106260