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42030100 = 2252797619
BaseRepresentation
bin1010000001010…
…1010000010100
32221002100110101
42200111100110
541224430400
64100503444
71020151510
oct240252024
987070411
1042030100
11217a7922
12120aab84
1389278a8
145821140
153a5356a
hex2815414

42030100 has 72 divisors (see below), whose sum is σ = 105479360. Its totient is φ = 14238720.

The previous prime is 42030097. The next prime is 42030119. The reversal of 42030100 is 103024.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67591 + ... + 68209.

Almost surely, 242030100 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 42030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52739680).

42030100 is an abundant number, since it is smaller than the sum of its proper divisors (63449260).

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

42030100 is a wasteful number, since it uses less digits than its factorization.

42030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 42030100 is about 6483.0625479013. The cubic root of 42030100 is about 347.6856830739.

Adding to 42030100 its reverse (103024), we get a palindrome (42133124).

The spelling of 42030100 in words is "forty-two million, thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 97 100 140 175 194 350 388 485 619 679 700 970 1238 1358 1940 2425 2476 2716 3095 3395 4333 4850 6190 6790 8666 9700 12380 13580 15475 16975 17332 21665 30950 33950 43330 60043 61900 67900 86660 108325 120086 216650 240172 300215 420301 433300 600430 840602 1200860 1501075 1681204 2101505 3002150 4203010 6004300 8406020 10507525 21015050 42030100