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42100770 = 23519233317
BaseRepresentation
bin1010000010011…
…0100000100010
32221012221101210
42200212200202
541234211040
64102210550
71020564525
oct240464042
987187353
1042100770
1121845a28
1212123a56
138950aca
14583cbbc
153a69480
hex2826822

42100770 has 64 divisors (see below), whose sum is σ = 107153280. Its totient is φ = 10556928.

The previous prime is 42100769. The next prime is 42100771. The reversal of 42100770 is 7700124.

42100770 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (42100769) and next prime (42100771).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42100771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132652 + ... + 132968.

It is an arithmetic number, because the mean of its divisors is an integer number (1674270).

Almost surely, 242100770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42100770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53576640).

42100770 is an abundant number, since it is smaller than the sum of its proper divisors (65052510).

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

42100770 is a wasteful number, since it uses less digits than its factorization.

42100770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579.

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 42100770 is about 6488.5106149254. The cubic root of 42100770 is about 347.8804418203.

Adding to 42100770 its reverse (7700124), we get a palindrome (49800894).

The spelling of 42100770 in words is "forty-two million, one hundred thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 233 285 317 466 570 634 699 951 1165 1398 1585 1902 2330 3170 3495 4427 4755 6023 6990 8854 9510 12046 13281 18069 22135 26562 30115 36138 44270 60230 66405 73861 90345 132810 147722 180690 221583 369305 443166 738610 1107915 1403359 2215830 2806718 4210077 7016795 8420154 14033590 21050385 42100770