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455730132 = 2231113231659
BaseRepresentation
bin11011001010011…
…110001111010100
31011202112111012210
4123022132033110
51413131331012
6113115513420
714202433164
oct3312361724
91152474183
10455730132
1121427a880
12108758870
1373554c00
14447505a4
152a02123c
hex1b29e3d4

455730132 has 144 divisors (see below), whose sum is σ = 1298626560. Its totient is φ = 123177600.

The previous prime is 455730103. The next prime is 455730151. The reversal of 455730132 is 231037554.

It is a self number, because there is not a number n which added to its sum of digits gives 455730132.

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, 691219 + ... + 691877.

It is an arithmetic number, because the mean of its divisors is an integer number (9018240).

Almost surely, 2455730132 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 455730132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649313280).

455730132 is an abundant number, since it is smaller than the sum of its proper divisors (842896428).

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

455730132 is a wasteful number, since it uses less digits than its factorization.

455730132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 455730132 is about 21347.8367053901. The cubic root of 455730132 is about 769.5483560427.

Adding to 455730132 its reverse (231037554), we get a palindrome (686767686).

It can be divided in two parts, 4557 and 30132, that multiplied together give a square (137311524 = 117182).

The spelling of 455730132 in words is "four hundred fifty-five million, seven hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 31 33 39 44 52 62 66 78 93 124 132 143 156 169 186 286 338 341 372 403 429 507 572 659 676 682 806 858 1014 1023 1209 1318 1364 1612 1716 1859 1977 2028 2046 2418 2636 3718 3954 4092 4433 4836 5239 5577 7249 7436 7908 8567 8866 10478 11154 13299 14498 15717 17134 17732 20429 20956 21747 22308 25701 26598 28996 31434 34268 40858 43494 51402 53196 57629 61287 62868 81716 86988 94237 102804 111371 115258 122574 172887 188474 222742 224719 230516 245148 265577 282711 334113 345774 376948 445484 449438 531154 565422 668226 674157 691548 796731 898876 1062308 1130844 1225081 1336452 1348314 1593462 2450162 2696628 2921347 3186924 3452501 3675243 4900324 5842694 6905002 7350486 8764041 10357503 11685388 13810004 14700972 17528082 20715006 35056164 37977511 41430012 75955022 113932533 151910044 227865066 455730132