Search a number
-
+
1005500132 = 2271343227283
BaseRepresentation
bin111011111011101…
…011011011100100
32121002000200212122
4323323223123210
54024402001012
6243435205112
733626416160
oct7373533344
92532020778
101005500132
1147664014a
122408a6798
131304147c0
149777dca0
155d41ae72
hex3beeb6e4

1005500132 has 96 divisors (see below), whose sum is σ = 2233684992. Its totient is φ = 385451136.

The previous prime is 1005500107. The next prime is 1005500141. The reversal of 1005500132 is 2310055001.

It is a super-2 number, since 2×10055001322 = 2022061030904034848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005500132.

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, 3552863 + ... + 3553145.

It is an arithmetic number, because the mean of its divisors is an integer number (23267552).

Almost surely, 21005500132 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 1005500132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116842496).

1005500132 is an abundant number, since it is smaller than the sum of its proper divisors (1228184860).

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

1005500132 is a wasteful number, since it uses less digits than its factorization.

1005500132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 1005500132 is about 31709.6220728031. The cubic root of 1005500132 is about 1001.8300262942.

Adding to 1005500132 its reverse (2310055001), we get a palindrome (3315555133).

The spelling of 1005500132 in words is "one billion, five million, five hundred thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 43 52 86 91 172 182 227 283 301 364 454 559 566 602 908 1118 1132 1204 1589 1981 2236 2951 3178 3679 3913 3962 5902 6356 7358 7826 7924 9761 11804 12169 14716 15652 19522 20657 24338 25753 39044 41314 48676 51506 64241 68327 82628 85183 103012 126893 128482 136654 158197 170366 253786 256964 273308 316394 340732 449687 507572 632788 835133 888251 899374 1107379 1670266 1776502 1798748 2214758 2762363 3340532 3553004 4429516 5524726 5845931 11049452 11691862 19336541 23383724 35910719 38673082 71821438 77346164 143642876 251375033 502750066 1005500132