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989151120 = 2432517211383
BaseRepresentation
bin111010111101010…
…011111110010000
32112221021002020200
4322331103332100
54011210313440
6242052535200
733340434336
oct7275237620
92487232220
10989151120
11468393971
12237321500
13129c0c129
1495525b56
155bc8bc30
hex3af53f90

989151120 has 240 divisors, whose sum is σ = 3543201792. Its totient is φ = 246435840.

The previous prime is 989151113. The next prime is 989151157. The reversal of 989151120 is 21151989.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2582449 + ... + 2582831.

Almost surely, 2989151120 is an apocalyptic number.

989151120 is a gapful number since it is divisible by the number (90) 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 989151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771600896).

989151120 is an abundant number, since it is smaller than the sum of its proper divisors (2554050672).

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

989151120 is a wasteful number, since it uses less digits than its factorization.

989151120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 989151120 is about 31450.7729634742. The cubic root of 989151120 is about 996.3705496939.

The spelling of 989151120 in words is "nine hundred eighty-nine million, one hundred fifty-one thousand, one hundred twenty".