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420071886 = 233133197199
BaseRepresentation
bin11001000010011…
…100100111001110
31002021102212022000
4121002130213032
51330014300021
6105403333130
713260360243
oct3102344716
91067385260
10420071886
111a6135253
12b88211a6
136904b660
143db0b5ca
1526d2ab26
hex1909c9ce

420071886 has 128 divisors (see below), whose sum is σ = 1053696000. Its totient is φ = 123171840.

The previous prime is 420071879. The next prime is 420071891. The reversal of 420071886 is 688170024.

It is a self number, because there is not a number n which added to its sum of digits gives 420071886.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2110815 + ... + 2111013.

It is an arithmetic number, because the mean of its divisors is an integer number (8232000).

Almost surely, 2420071886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420071886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526848000).

420071886 is an abundant number, since it is smaller than the sum of its proper divisors (633624114).

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

420071886 is a wasteful number, since it uses less digits than its factorization.

420071886 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 420071886 is about 20495.6552956962. The cubic root of 420071886 is about 748.9299620845.

The spelling of 420071886 in words is "four hundred twenty million, seventy-one thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 93 97 117 186 194 199 234 279 291 351 398 403 558 582 597 702 806 837 873 1194 1209 1261 1674 1746 1791 2418 2522 2587 2619 3007 3582 3627 3783 5174 5238 5373 6014 6169 7254 7566 7761 9021 10746 10881 11349 12338 15522 18042 18507 19303 21762 22698 23283 27063 34047 37014 38606 39091 46566 54126 55521 57909 68094 69849 78182 80197 81189 111042 115818 117273 139698 160394 162378 166563 173727 234546 240591 250939 333126 347454 351819 481182 501878 521181 598393 703638 721773 752817 1042362 1055457 1196786 1443546 1505634 1795179 2110914 2165319 2258451 3590358 4330638 4516902 5385537 6775353 7779109 10771074 13550706 15558218 16156611 23337327 32313222 46674654 70011981 140023962 210035943 420071886