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421620738 = 237114719417
BaseRepresentation
bin11001001000010…
…110110000000010
31002101100112220220
4121020112300002
51330413330423
6105500443510
713306500660
oct3110266002
91071315826
10421620738
111a6aa29a0
12b9249596
1369471636
143ddd1c30
15270349e3
hex19216c02

421620738 has 64 divisors (see below), whose sum is σ = 1073737728. Its totient is φ = 107176320.

The previous prime is 421620733. The next prime is 421620769. The reversal of 421620738 is 837026124.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 421620699 and 421620708.

It is not an unprimeable number, because it can be changed into a prime (421620733) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12006 + ... + 31422.

It is an arithmetic number, because the mean of its divisors is an integer number (16777152).

Almost surely, 2421620738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421620738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536868864).

421620738 is an abundant number, since it is smaller than the sum of its proper divisors (652116990).

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

421620738 is a wasteful number, since it uses less digits than its factorization.

421620738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19487.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 421620738 is about 20533.4054165401. The cubic root of 421620738 is about 749.8492959420.

The spelling of 421620738 in words is "four hundred twenty-one million, six hundred twenty thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 77 94 141 154 231 282 329 462 517 658 987 1034 1551 1974 3102 3619 7238 10857 19417 21714 38834 58251 116502 135919 213587 271838 407757 427174 640761 815514 912599 1281522 1495109 1825198 2737797 2990218 4485327 5475594 6388193 8970654 10038589 12776386 19164579 20077178 30115767 38329158 60231534 70270123 140540246 210810369 421620738