Search a number
-
+
1299449088 = 28337107251
BaseRepresentation
bin100110101110100…
…0000010100000000
310100120010212001000
41031131000110000
510130124332323
6332535412000
744126064210
oct11535002400
93316125030
101299449088
11607561373
12303224000
131792a42b2
14c481a240
1579131e43
hex4d740500

1299449088 has 288 divisors, whose sum is σ = 4450360320. Its totient is φ = 366336000.

The previous prime is 1299449087. The next prime is 1299449113. The reversal of 1299449088 is 8809449921.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1299449087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5176963 + ... + 5177213.

It is an arithmetic number, because the mean of its divisors is an integer number (15452640).

Almost surely, 21299449088 is an apocalyptic number.

1299449088 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 1299449088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225180160).

1299449088 is an abundant number, since it is smaller than the sum of its proper divisors (3150911232).

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

1299449088 is a wasteful number, since it uses less digits than its factorization.

1299449088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 1299449088 is about 36047.8721702128. The cubic root of 1299449088 is about 1091.2386916791.

The spelling of 1299449088 in words is "one billion, two hundred ninety-nine million, four hundred forty-nine thousand, eighty-eight".