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1358512128 = 214333783
BaseRepresentation
bin101000011111001…
…0100000000000000
310111200021120022000
41100332110000000
510240234342003
6342445344000
745444106521
oct12076240000
93450246260
101358512128
116379322a6
1231ab68000
131885b393c
14cc5d2848
157e3ec1a3
hex50f94000

1358512128 has 240 divisors, whose sum is σ = 4183690560. Its totient is φ = 435290112.

The previous prime is 1358512123. The next prime is 1358512153. The reversal of 1358512128 is 8212158531.

1358512128 is a `hidden beast` number, since 13 + 5 + 8 + 512 + 128 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1358512092 and 1358512101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1358512123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16367575 + ... + 16367657.

It is an arithmetic number, because the mean of its divisors is an integer number (17432044).

Almost surely, 21358512128 is an apocalyptic number.

1358512128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1358512128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091845280).

1358512128 is an abundant number, since it is smaller than the sum of its proper divisors (2825178432).

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

1358512128 is an frugal number, since it uses more digits than its factorization.

1358512128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 1358512128 is about 36857.9995116393. Note that the first 3 decimals coincide. The cubic root of 1358512128 is about 1107.5274694884.

Adding to 1358512128 its sum of digits (36), we get a square (1358512164 = 368582).

The spelling of 1358512128 in words is "one billion, three hundred fifty-eight million, five hundred twelve thousand, one hundred twenty-eight".