Search a number
-
+
420796914 = 231923312167
BaseRepresentation
bin11001000101001…
…101100111110010
31002022210200211220
4121011031213302
51330211000124
6105431045510
713266500106
oct3105154762
91068720756
10420796914
111a658aa4a
12b8b10896
1369243675
143dc59906
1526e20879
hex1914d9f2

420796914 has 96 divisors (see below), whose sum is σ = 960906240. Its totient is φ = 122268960.

The previous prime is 420796913. The next prime is 420796919. The reversal of 420796914 is 419697024.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (420796913) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2519659 + ... + 2519825.

It is an arithmetic number, because the mean of its divisors is an integer number (10009440).

Almost surely, 2420796914 is an apocalyptic number.

420796914 is an abundant number, since it is smaller than the sum of its proper divisors (540109326).

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

420796914 is a wasteful number, since it uses less digits than its factorization.

420796914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 420796914 is about 20513.3350287075. The cubic root of 420796914 is about 749.3605892490.

The spelling of 420796914 in words is "four hundred twenty million, seven hundred ninety-six thousand, nine hundred fourteen".

Divisors: 1 2 3 6 19 23 31 38 46 57 62 69 93 114 138 167 186 334 437 501 589 713 874 961 1002 1178 1311 1426 1767 1922 2139 2622 2883 3173 3534 3841 4278 5177 5766 6346 7682 9519 10354 11523 13547 15531 18259 19038 22103 23046 27094 31062 36518 40641 44206 54777 66309 72979 81282 98363 109554 119071 132618 145958 160487 196726 218937 238142 295089 320974 357213 419957 437874 481461 590178 714426 839914 962922 1259871 2262349 2519742 3049253 3691201 4524698 6098506 6787047 7382402 9147759 11073603 13574094 18295518 22147206 70132819 140265638 210398457 420796914