Search a number
-
+
421930280 = 235294771109
BaseRepresentation
bin11001001001100…
…010010100101000
31002101221021112102
4121021202110220
51331003232110
6105511232532
713312230302
oct3111422450
91071837472
10421930280
111a7194512
12b9378748
136954c4b5
1440072972
15270965a5
hex19262528

421930280 has 128 divisors (see below), whose sum is σ = 1026432000. Its totient is φ = 155796480.

The previous prime is 421930273. The next prime is 421930337. The reversal of 421930280 is 82039124.

It is a super-2 number, since 2×4219302802 = 356050322361756800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3870866 + ... + 3870974.

It is an arithmetic number, because the mean of its divisors is an integer number (8019000).

Almost surely, 2421930280 is an apocalyptic number.

421930280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421930280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513216000).

421930280 is an abundant number, since it is smaller than the sum of its proper divisors (604501720).

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

421930280 is a wasteful number, since it uses less digits than its factorization.

421930280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 421930280 is about 20540.9415558294. The cubic root of 421930280 is about 750.0327570878.

The spelling of 421930280 in words is "four hundred twenty-one million, nine hundred thirty thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 47 58 71 94 109 116 142 145 188 218 232 235 284 290 355 376 436 470 545 568 580 710 872 940 1090 1160 1363 1420 1880 2059 2180 2726 2840 3161 3337 4118 4360 5123 5452 6322 6674 6815 7739 8236 10246 10295 10904 12644 13348 13630 15478 15805 16472 16685 20492 20590 25288 25615 26696 27260 30956 31610 33370 38695 40984 41180 51230 54520 61912 63220 66740 77390 82360 96773 102460 126440 133480 148567 154780 193546 204920 224431 297134 309560 363733 387092 448862 483865 594268 727466 742835 774184 897724 967730 1122155 1188536 1454932 1485670 1795448 1818665 1935460 2244310 2909864 2971340 3637330 3870920 4488620 5942680 7274660 8977240 10548257 14549320 21096514 42193028 52741285 84386056 105482570 210965140 421930280