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1157123424 = 253103117023
BaseRepresentation
bin100010011111000…
…0100110101100000
32222122022221221010
41010332010311200
54332210422144
6310453100520
740450246452
oct10476046540
92878287833
101157123424
11544190a56
12283627740
13155961522
14ad96c2d2
156b8bb5b9
hex44f84d60

1157123424 has 48 divisors (see below), whose sum is σ = 3066964992. Its totient is φ = 381959808.

The previous prime is 1157123413. The next prime is 1157123549. The reversal of 1157123424 is 4243217511.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1157123391 and 1157123400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48624 + ... + 68399.

It is an arithmetic number, because the mean of its divisors is an integer number (63895104).

Almost surely, 21157123424 is an apocalyptic number.

It is an amenable number.

1157123424 is an abundant number, since it is smaller than the sum of its proper divisors (1909841568).

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

1157123424 is a wasteful number, since it uses less digits than its factorization.

1157123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117139 (or 117131 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 1157123424 is about 34016.5169292801. The cubic root of 1157123424 is about 1049.8483300201.

The spelling of 1157123424 in words is "one billion, one hundred fifty-seven million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1648 2472 3296 4944 9888 117023 234046 351069 468092 702138 936184 1404276 1872368 2808552 3744736 5617104 11234208 12053369 24106738 36160107 48213476 72320214 96426952 144640428 192853904 289280856 385707808 578561712 1157123424