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987226240 = 275711132367
BaseRepresentation
bin111010110101111…
…110000010000000
32112210122021210211
4322311332002000
54010212214430
6241543403504
733315166420
oct7265760200
92483567724
10987226240
11467299760
12236753594
131296b6c50
1495184480
155ba0b72a
hex3ad7e080

987226240 has 512 divisors, whose sum is σ = 3355914240. Its totient is φ = 267632640.

The previous prime is 987226237. The next prime is 987226313. The reversal of 987226240 is 42622789.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 987226193 and 987226202.

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, 14734687 + ... + 14734753.

It is an arithmetic number, because the mean of its divisors is an integer number (6554520).

Almost surely, 2987226240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677957120).

987226240 is an abundant number, since it is smaller than the sum of its proper divisors (2368688000).

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

987226240 is a wasteful number, since it uses less digits than its factorization.

987226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 987226240 is about 31420.1565877702. The cubic root of 987226240 is about 995.7238203519.

The spelling of 987226240 in words is "nine hundred eighty-seven million, two hundred twenty-six thousand, two hundred forty".