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1157123484 = 2232113193141
BaseRepresentation
bin100010011111000…
…0100110110011100
32222122022222000100
41010332010312130
54332210422414
6310453101100
740450246566
oct10476046634
92878288010
101157123484
11544191000
12283627790
1315596156a
14ad96c336
156b8bb609
hex44f84d9c

1157123484 has 288 divisors, whose sum is σ = 3581061120. Its totient is φ = 313632000.

The previous prime is 1157123413. The next prime is 1157123549. The reversal of 1157123484 is 4843217511.

1157123484 is a `hidden beast` number, since 1 + 1 + 57 + 123 + 484 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28222504 + ... + 28222544.

It is an arithmetic number, because the mean of its divisors is an integer number (12434240).

Almost surely, 21157123484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157123484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790530560).

1157123484 is an abundant number, since it is smaller than the sum of its proper divisors (2423937636).

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

1157123484 is a wasteful number, since it uses less digits than its factorization.

1157123484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 1157123484 is about 34016.5178112046. The cubic root of 1157123484 is about 1049.8483481660.

The spelling of 1157123484 in words is "one billion, one hundred fifty-seven million, one hundred twenty-three thousand, four hundred eighty-four".