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421245006 = 237132173491
BaseRepresentation
bin11001000110111…
…011000001001110
31002100122110111220
4121012323001032
51330314320011
6105444424210
713303344360
oct3106730116
91070573456
10421245006
111a6866676
12b90a8066
136936c600
143dd34d30
1526ead506
hex191bb04e

421245006 has 96 divisors (see below), whose sum is σ = 1104254208. Its totient is φ = 104532480.

The previous prime is 421244969. The next prime is 421245053. The reversal of 421245006 is 600542124.

It is a super-3 number, since 3×4212450063 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118921 + ... + 122411.

It is an arithmetic number, because the mean of its divisors is an integer number (11502648).

Almost surely, 2421245006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421245006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552127104).

421245006 is an abundant number, since it is smaller than the sum of its proper divisors (683009202).

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

421245006 is a wasteful number, since it uses less digits than its factorization.

421245006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 421245006 is about 20524.2540911966. The cubic root of 421245006 is about 749.6264842344.

The spelling of 421245006 in words is "four hundred twenty-one million, two hundred forty-five thousand, six".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 169 182 221 238 273 338 357 442 507 546 663 714 1014 1183 1326 1547 2366 2873 3094 3491 3549 4641 5746 6982 7098 8619 9282 10473 17238 20111 20946 24437 40222 45383 48874 59347 60333 73311 90766 118694 120666 136149 146622 178041 272298 317681 356082 415429 589979 635362 771511 830858 953043 1179958 1246287 1543022 1769937 1906086 2314533 2492574 3539874 4129853 4629066 5400577 8259706 10029643 10801154 12389559 16201731 20059286 24779118 30088929 32403462 60177858 70207501 140415002 210622503 421245006