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421948020 = 2235132692011
BaseRepresentation
bin11001001001100…
…110101001110100
31002101222011212110
4121021212221310
51331004314040
6105511451020
713312333104
oct3111465164
91071864773
10421948020
111a71a687a
12b9386a70
13695575b0
1440079204
152709b980
hex19266a74

421948020 has 96 divisors (see below), whose sum is σ = 1277700480. Its totient is φ = 103426560.

The previous prime is 421947979. The next prime is 421948031. The reversal of 421948020 is 20849124.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208815 + ... + 210825.

It is an arithmetic number, because the mean of its divisors is an integer number (13309380).

Almost surely, 2421948020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421948020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638850240).

421948020 is an abundant number, since it is smaller than the sum of its proper divisors (855752460).

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

421948020 is a wasteful number, since it uses less digits than its factorization.

421948020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 421948020 is about 20541.3733718074. The cubic root of 421948020 is about 750.0432686148.

The spelling of 421948020 in words is "four hundred twenty-one million, nine hundred forty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 269 390 538 780 807 1076 1345 1614 2011 2690 3228 3497 4022 4035 5380 6033 6994 8044 8070 10055 10491 12066 13988 16140 17485 20110 20982 24132 26143 30165 34970 40220 41964 52286 52455 60330 69940 78429 104572 104910 120660 130715 156858 209820 261430 313716 392145 522860 540959 784290 1081918 1568580 1622877 2163836 2704795 3245754 5409590 6491508 7032467 8114385 10819180 14064934 16228770 21097401 28129868 32457540 35162335 42194802 70324670 84389604 105487005 140649340 210974010 421948020