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421444020 = 2235151181257
BaseRepresentation
bin11001000111101…
…011100110110100
31002101000120111210
4121013223212310
51330342202040
6105453001420
713305133524
oct3107534664
91071016453
10421444020
111a6992148
12b9183270
136940c07a
143dd87684
1526eec480
hex191eb9b4

421444020 has 96 divisors (see below), whose sum is σ = 1199068416. Its totient is φ = 110592000.

The previous prime is 421443941. The next prime is 421444033. The reversal of 421444020 is 20444124.

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, 1639732 + ... + 1639988.

It is an arithmetic number, because the mean of its divisors is an integer number (12490296).

Almost surely, 2421444020 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 421444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599534208).

421444020 is an abundant number, since it is smaller than the sum of its proper divisors (777624396).

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

421444020 is a wasteful number, since it uses less digits than its factorization.

421444020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 421444020 is about 20529.1017825915. The cubic root of 421444020 is about 749.7445174259.

Adding to 421444020 its reverse (20444124), we get a palindrome (441888144).

It can be divided in two parts, 42144 and 4020, that added together give a palindrome (46164).

The spelling of 421444020 in words is "four hundred twenty-one million, four hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 181 257 302 362 453 514 543 604 724 755 771 905 906 1028 1086 1285 1510 1542 1810 1812 2172 2265 2570 2715 3020 3084 3620 3855 4530 5140 5430 7710 9060 10860 15420 27331 38807 46517 54662 77614 81993 93034 109324 116421 136655 139551 155228 163986 186068 194035 232585 232842 273310 279102 327972 388070 409965 465170 465684 546620 558204 582105 697755 776140 819930 930340 1164210 1395510 1639860 2328420 2791020 7024067 14048134 21072201 28096268 35120335 42144402 70240670 84288804 105361005 140481340 210722010 421444020