Search a number
-
+
432270132 = 2237131163241
BaseRepresentation
bin11001110000111…
…110101100110100
31010010101121010220
4121300332230310
51341130121012
6110521014340
713466143530
oct3160765464
91103347126
10432270132
11202006a48
121009243b0
136b72c958
14415a4bc0
1527e3a08c
hex19c3eb34

432270132 has 96 divisors (see below), whose sum is σ = 1173494784. Its totient is φ = 121305600.

The previous prime is 432270127. The next prime is 432270151. The reversal of 432270132 is 231072234.

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, 1793532 + ... + 1793772.

It is an arithmetic number, because the mean of its divisors is an integer number (12223904).

Almost surely, 2432270132 is an apocalyptic number.

432270132 is a gapful number since it is divisible by the number (42) 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 432270132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586747392).

432270132 is an abundant number, since it is smaller than the sum of its proper divisors (741224652).

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

432270132 is a wasteful number, since it uses less digits than its factorization.

432270132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 432270132 is about 20791.1070412328. The cubic root of 432270132 is about 756.1101642322.

The spelling of 432270132 in words is "four hundred thirty-two million, two hundred seventy thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 163 241 262 326 393 482 489 524 652 723 786 917 964 978 1141 1446 1572 1687 1834 1956 2282 2751 2892 3374 3423 3668 4564 5061 5502 6748 6846 10122 11004 13692 20244 21353 31571 39283 42706 63142 64059 78566 85412 94713 117849 126284 128118 149471 157132 189426 220997 235698 256236 274981 298942 378852 441994 448413 471396 549962 597884 662991 824943 883988 896826 1099924 1325982 1649886 1793652 2651964 3299772 5146073 10292146 15438219 20584292 30876438 36022511 61752876 72045022 108067533 144090044 216135066 432270132