Search a number
-
+
1130289972 = 223779170327
BaseRepresentation
bin100001101011110…
…1101101100110100
32220202211200100120
41003113231230310
54303323234342
6304054011540
740003210020
oct10327555464
92822750316
101130289972
11530023649
12276646bb0
13150227946
14aa185380
156936aaec
hex435edb34

1130289972 has 48 divisors (see below), whose sum is σ = 3052277760. Its totient is φ = 318850272.

The previous prime is 1130289971. The next prime is 1130289991. The reversal of 1130289972 is 2799820311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130289971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78528 + ... + 91799.

It is an arithmetic number, because the mean of its divisors is an integer number (63589120).

Almost surely, 21130289972 is an apocalyptic number.

1130289972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1130289972 is an abundant number, since it is smaller than the sum of its proper divisors (1921987788).

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

1130289972 is a wasteful number, since it uses less digits than its factorization.

1130289972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170420 (or 170418 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 1130289972 is about 33619.7854246573. The cubic root of 1130289972 is about 1041.6695238350.

The spelling of 1130289972 in words is "one billion, one hundred thirty million, two hundred eighty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1659 2212 3318 6636 170327 340654 510981 681308 1021962 1192289 2043924 2384578 3576867 4769156 7153734 13455833 14307468 26911666 40367499 53823332 80734998 94190831 161469996 188381662 282572493 376763324 565144986 1130289972