Search a number
-
+
1028147904 = 2634729977
BaseRepresentation
bin111101010010000…
…100101011000000
32122122122022210000
4331102010223000
54101201213104
6250004440000
734323053520
oct7522045300
92578568700
101028147904
114883a9813
122483a9000
13135014154
149a797680
15603e1639
hex3d484ac0

1028147904 has 280 divisors, whose sum is σ = 3606942240. Its totient is φ = 283336704.

The previous prime is 1028147899. The next prime is 1028147921. The reversal of 1028147904 is 4097418201.

1028147904 is a `hidden beast` number, since 102 + 81 + 479 + 0 + 4 = 666.

It is a super-2 number, since 2×10281479042 = 2114176224999186432, which contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 1051864 + ... + 1052840.

Almost surely, 21028147904 is an apocalyptic number.

1028147904 is a gapful number since it is divisible by the number (14) 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 1028147904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803471120).

1028147904 is an abundant number, since it is smaller than the sum of its proper divisors (2578794336).

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

1028147904 is an equidigital number, since it uses as much as digits as its factorization.

1028147904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1028147904 is about 32064.7455003155. The cubic root of 1028147904 is about 1009.2959521708.

It can be divided in two parts, 10281 and 47904, that added together give a palindrome (58185).

The spelling of 1028147904 in words is "one billion, twenty-eight million, one hundred forty-seven thousand, nine hundred four".