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990887040 = 273351113401
BaseRepresentation
bin111011000011111…
…011110010000000
32120001112021111000
4323003323302000
54012131341130
6242154052000
733361254333
oct7303736200
92501467430
10990887040
1146936a110
12237a1a000
1312a3992c0
149585861a
155bed1260
hex3b0fbc80

990887040 has 512 divisors, whose sum is σ = 4133203200. Its totient is φ = 221184000.

The previous prime is 990887039. The next prime is 990887059. The reversal of 990887040 is 40788099.

990887040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2470840 + ... + 2471240.

Almost surely, 2990887040 is an apocalyptic number.

990887040 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 990887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066601600).

990887040 is an abundant number, since it is smaller than the sum of its proper divisors (3142316160).

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

990887040 is a wasteful number, since it uses less digits than its factorization.

990887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 990887040 is about 31478.3582799358. The cubic root of 990887040 is about 996.9530723274.

The spelling of 990887040 in words is "nine hundred ninety million, eight hundred eighty-seven thousand, forty".