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420404754 = 2371119471019
BaseRepresentation
bin11001000011101…
…101111000010010
31002022001202220110
4121003231320102
51330110423004
6105414422150
713263244560
oct3103557022
91068052813
10420404754
111a6342350
12b8961956
1369137013
143db96a30
1526d94589
hex190ede12

420404754 has 128 divisors (see below), whose sum is σ = 1128038400. Its totient is φ = 101148480.

The previous prime is 420404753. The next prime is 420404771. The reversal of 420404754 is 457404024.

It is not an unprimeable number, because it can be changed into a prime (420404753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 412057 + ... + 413075.

It is an arithmetic number, because the mean of its divisors is an integer number (8812800).

Almost surely, 2420404754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420404754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564019200).

420404754 is an abundant number, since it is smaller than the sum of its proper divisors (707633646).

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

420404754 is a wasteful number, since it uses less digits than its factorization.

420404754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108.

The product of its (nonzero) digits is 17920, while the sum is 30.

The square root of 420404754 is about 20503.7741403869. The cubic root of 420404754 is about 749.1277290289.

Adding to 420404754 its reverse (457404024), we get a palindrome (877808778).

The spelling of 420404754 in words is "four hundred twenty million, four hundred four thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 47 57 66 77 94 114 133 141 154 209 231 266 282 329 399 418 462 517 627 658 798 893 987 1019 1034 1254 1463 1551 1786 1974 2038 2679 2926 3057 3102 3619 4389 5358 6114 6251 7133 7238 8778 9823 10857 11209 12502 14266 18753 19361 19646 21399 21714 22418 29469 33627 37506 38722 42798 47893 58083 58938 67254 68761 78463 95786 116166 135527 137522 143679 156926 206283 212971 235389 271054 287358 335251 406581 412566 425942 470778 526823 638913 670502 813162 909967 1005753 1053646 1277826 1490797 1580469 1819934 2011506 2729901 2981594 3160938 3687761 4472391 5459802 6369769 7375522 8944782 10009637 11063283 12739538 19109307 20019274 22126566 30028911 38218614 60057822 70067459 140134918 210202377 420404754