Search a number
-
+
1122129040 = 24515119283
BaseRepresentation
bin100001011100010…
…0101010010010000
32220012111001122211
41002320211102100
54244231112130
6303203041504
736543640144
oct10270452220
92805431584
101122129040
1152645a17a
12273970294
1314b62b1a6
14a905d224
15687a7a2a
hex42e25490

1122129040 has 40 divisors (see below), whose sum is σ = 2610957888. Its totient is φ = 448506240.

The previous prime is 1122129023. The next prime is 1122129053. The reversal of 1122129040 is 409212211.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×11221290402 = 2518347164822643200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116239 + ... + 125521.

Almost surely, 21122129040 is an apocalyptic number.

1122129040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122129040 is an abundant number, since it is smaller than the sum of its proper divisors (1488828848).

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

1122129040 is a wasteful number, since it uses less digits than its factorization.

1122129040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10807 (or 10801 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1122129040 is about 33498.1945782157. The cubic root of 1122129040 is about 1039.1564412090.

The spelling of 1122129040 in words is "one billion, one hundred twenty-two million, one hundred twenty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1511 3022 6044 7555 9283 12088 15110 18566 24176 30220 37132 46415 60440 74264 92830 120880 148528 185660 371320 742640 14026613 28053226 56106452 70133065 112212904 140266130 224425808 280532260 561064520 1122129040