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420820722 = 232723115391
BaseRepresentation
bin11001000101010…
…011011011110010
31002022211220111200
4121011103123302
51330212230342
6105431352030
713266626400
oct3105233362
91068756450
10420820722
111a65a6923
12b8b22616
136925145a
143dc64470
1526e2794c
hex191536f2

420820722 has 72 divisors (see below), whose sum is σ = 1094925312. Its totient is φ = 116348400.

The previous prime is 420820663. The next prime is 420820781. The reversal of 420820722 is 227028024.

It is an interprime number because it is at equal distance from previous prime (420820663) and next prime (420820781).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19647 + ... + 35037.

It is an arithmetic number, because the mean of its divisors is an integer number (15207296).

Almost surely, 2420820722 is an apocalyptic number.

420820722 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 420820722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547462656).

420820722 is an abundant number, since it is smaller than the sum of its proper divisors (674104590).

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

420820722 is a wasteful number, since it uses less digits than its factorization.

420820722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15444 (or 15434 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 420820722 is about 20513.9153259440. The cubic root of 420820722 is about 749.3747215140.

Adding to 420820722 its reverse (227028024), we get a palindrome (647848746).

The spelling of 420820722 in words is "four hundred twenty million, eight hundred twenty thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 434 441 558 651 882 1302 1519 1953 3038 3906 4557 9114 13671 15391 27342 30782 46173 92346 107737 138519 215474 277038 323211 477121 646422 754159 954242 969633 1431363 1508318 1939266 2262477 2862726 3339847 4294089 4524954 6679694 6787431 8588178 10019541 13574862 20039082 23378929 30058623 46757858 60117246 70136787 140273574 210410361 420820722