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1129279242 = 237138324919
BaseRepresentation
bin100001101001111…
…0110111100001010
32220200221022220010
41003103312330022
54303043413432
6304020212350
736661500210
oct10323667412
92820838803
101129279242
1152a4a3233
1227623a0b6
1314cc62890
14a9da0cb0
156921b3cc
hex434f6f0a

1129279242 has 64 divisors (see below), whose sum is σ = 2813368320. Its totient is φ = 294231744.

The previous prime is 1129279241. The next prime is 1129279243. The reversal of 1129279242 is 2429729211.

It is an interprime number because it is at equal distance from previous prime (1129279241) and next prime (1129279243).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1129279242.

It is not an unprimeable number, because it can be changed into a prime (1129279241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32859 + ... + 57777.

It is an arithmetic number, because the mean of its divisors is an integer number (43958880).

Almost surely, 21129279242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1129279242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406684160).

1129279242 is an abundant number, since it is smaller than the sum of its proper divisors (1684089078).

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

1129279242 is a wasteful number, since it uses less digits than its factorization.

1129279242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25027.

The product of its digits is 36288, while the sum is 39.

The square root of 1129279242 is about 33604.7502892076. The cubic root of 1129279242 is about 1041.3589366860.

The spelling of 1129279242 in words is "one billion, one hundred twenty-nine million, two hundred seventy-nine thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 83 91 166 182 249 273 498 546 581 1079 1162 1743 2158 3237 3486 6474 7553 15106 22659 24919 45318 49838 74757 149514 174433 323947 348866 523299 647894 971841 1046598 1943682 2068277 2267629 4136554 4535258 6204831 6802887 12409662 13605774 14477939 26887601 28955878 43433817 53775202 80662803 86867634 161325606 188213207 376426414 564639621 1129279242