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42199020 = 223252310193
BaseRepresentation
bin1010000011111…
…0011111101100
32221101221011200
42200332133230
541300332040
64104245500
71021454133
oct240763754
987357150
1042199020
1121902826
1212170890
138986746
14586691a
153a88630
hex283e7ec

42199020 has 72 divisors (see below), whose sum is σ = 133582176. Its totient is φ = 10762752.

The previous prime is 42199013. The next prime is 42199021. The reversal of 42199020 is 2099124.

It is not an unprimeable number, because it can be changed into a prime (42199021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 957 + ... + 9236.

It is an arithmetic number, because the mean of its divisors is an integer number (1855308).

Almost surely, 242199020 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 42199020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66791088).

42199020 is an abundant number, since it is smaller than the sum of its proper divisors (91383156).

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

42199020 is a wasteful number, since it uses less digits than its factorization.

42199020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10231 (or 10226 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 42199020 is about 6496.0772778655. The cubic root of 42199020 is about 348.1508462170.

The spelling of 42199020 in words is "forty-two million, one hundred ninety-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 10193 20386 30579 40772 50965 61158 91737 101930 122316 152895 183474 203860 234439 305790 366948 458685 468878 611580 703317 917370 937756 1172195 1406634 1834740 2109951 2344390 2813268 3516585 4219902 4688780 7033170 8439804 10549755 14066340 21099510 42199020