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420189750 = 23253199829
BaseRepresentation
bin11001000010111…
…001011000110110
31002021122211222100
4121002321120312
51330032033000
6105410042530
713261361001
oct3102713066
91067584870
10420189750
111a6205862
12b8879446
13690901b6
143db3c538
1526d50a00
hex190b9636

420189750 has 96 divisors (see below), whose sum is σ = 1196114400. Its totient is φ = 106142400.

The previous prime is 420189743. The next prime is 420189761. The reversal of 420189750 is 57981024.

420189750 is a `hidden beast` number, since 420 + 189 + 7 + 50 = 666.

It is a Cunningham number, because it is equal to 7493+1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37836 + ... + 47664.

It is an arithmetic number, because the mean of its divisors is an integer number (12459525).

Almost surely, 2420189750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420189750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598057200).

420189750 is an abundant number, since it is smaller than the sum of its proper divisors (775924650).

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

420189750 is a wasteful number, since it uses less digits than its factorization.

420189750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9871 (or 9858 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 420189750 is about 20498.5304351312. The cubic root of 420189750 is about 749.0000005942. Note that the first 6 decimals are identical.

The spelling of 420189750 in words is "four hundred twenty million, one hundred eighty-nine thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 125 150 171 190 225 250 285 342 375 450 475 570 750 855 950 1125 1425 1710 2250 2375 2850 4275 4750 7125 8550 9829 14250 19658 21375 29487 42750 49145 58974 88461 98290 147435 176922 186751 245725 294870 373502 442305 491450 560253 737175 884610 933755 1120506 1228625 1474350 1680759 1867510 2211525 2457250 2801265 3361518 3685875 4423050 4668775 5602530 7371750 8403795 9337550 11057625 14006325 16807590 22115250 23343875 28012650 42018975 46687750 70031625 84037950 140063250 210094875 420189750