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42104700 = 223252114253
BaseRepresentation
bin1010000010011…
…1011101111100
32221020010210100
42200213131330
541234322300
64102241100
71020612141
oct240473574
987203710
1042104700
1121848980
1212126190
138952831
1458403c8
153a6a700
hex282777c

42104700 has 108 divisors (see below), whose sum is σ = 144006408. Its totient is φ = 10204800.

The previous prime is 42104683. The next prime is 42104707. The reversal of 42104700 is 740124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42104707) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7774 + ... + 12026.

Almost surely, 242104700 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 42104700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72003204).

42104700 is an abundant number, since it is smaller than the sum of its proper divisors (101901708).

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

42104700 is a wasteful number, since it uses less digits than its factorization.

42104700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 42104700 is about 6488.8134508552. The cubic root of 42104700 is about 347.8912660688.

Adding to 42104700 its reverse (740124), we get a palindrome (42844824).

The spelling of 42104700 in words is "forty-two million, one hundred four thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4253 4950 8506 9900 12759 17012 21265 25518 38277 42530 46783 51036 63795 76554 85060 93566 106325 127590 140349 153108 187132 191385 212650 233915 255180 280698 318975 382770 421047 425300 467830 561396 637950 701745 765540 842094 935660 956925 1169575 1275900 1403490 1684188 1913850 2105235 2339150 2806980 3508725 3827700 4210470 4678300 7017450 8420940 10526175 14034900 21052350 42104700