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1153990080 = 263251921089
BaseRepresentation
bin100010011001000…
…0111110111000000
32222102102202210100
41010302013313000
54330410140310
6310302002400
740411516365
oct10462076700
92872382710
101153990080
11542440911
12282576400
13155105289
14ad39446c
156b49cec0
hex44c87dc0

1153990080 has 168 divisors, whose sum is σ = 4178350800. Its totient is φ = 291520512.

The previous prime is 1153990067. The next prime is 1153990087. The reversal of 1153990080 is 800993511.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153990087) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 44176 + ... + 65264.

Almost surely, 21153990080 is an apocalyptic number.

1153990080 is a gapful number since it is divisible by the number (10) 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 1153990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089175400).

1153990080 is an abundant number, since it is smaller than the sum of its proper divisors (3024360720).

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

1153990080 is a wasteful number, since it uses less digits than its factorization.

1153990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21131 (or 21118 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1153990080 is about 33970.4294938995. The cubic root of 1153990080 is about 1048.8998545195.

The spelling of 1153990080 in words is "one billion, one hundred fifty-three million, nine hundred ninety thousand, eighty".