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1129292955 = 33572315507
BaseRepresentation
bin100001101001111…
…1010010010011011
32220200222000201000
41003103322102123
54303044333310
6304020400043
736661555200
oct10323722233
92820860630
101129292955
1152a50256a
12276246023
1314cc68bab
14a9da5ca7
15692204c0
hex434fa49b

1129292955 has 96 divisors (see below), whose sum is σ = 2411182080. Its totient is φ = 499504320.

The previous prime is 1129292951. The next prime is 1129292963. The reversal of 1129292955 is 5592929211.

1129292955 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1129292955 - 22 = 1129292951 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1129292955.

It is not an unprimeable number, because it can be changed into a prime (1129292951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202312 + ... + 207818.

It is an arithmetic number, because the mean of its divisors is an integer number (25116480).

Almost surely, 21129292955 is an apocalyptic number.

1129292955 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1129292955 is an abundant number, since it is smaller than the sum of its proper divisors (1281889125).

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

1129292955 is a wasteful number, since it uses less digits than its factorization.

1129292955 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5566 (or 5553 counting only the distinct ones).

The product of its digits is 145800, while the sum is 45.

The square root of 1129292955 is about 33604.9543222424. The cubic root of 1129292955 is about 1041.3631517926.

The spelling of 1129292955 in words is "one billion, one hundred twenty-nine million, two hundred ninety-two thousand, nine hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 49 63 93 105 135 147 155 189 217 245 279 315 441 465 651 735 837 945 1085 1323 1395 1519 1953 2205 3255 4185 4557 5507 5859 6615 7595 9765 13671 16521 22785 27535 29295 38549 41013 49563 68355 82605 115647 148689 170717 192745 205065 247815 269843 346941 512151 578235 743445 809529 853585 1040823 1195019 1349215 1536453 1734705 2428587 2560755 3585057 4047645 4609359 5204115 5975095 7285761 7682265 8365133 10755171 12142935 17925285 23046795 25095399 32265513 36428805 41825665 53775855 75286197 125476995 161327565 225858591 376430985 1129292955