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1097784240 = 243572277337
BaseRepresentation
bin100000101101110…
…1101101110110000
32211111200012212120
41001123231232300
54222013043430
6300533154240
736130004100
oct10133555660
92744605776
101097784240
11513741603
1226778b980
13146586297
14a5b23200
1566599610
hex416edbb0

1097784240 has 240 divisors, whose sum is σ = 3984825312. Its totient is φ = 249274368.

The previous prime is 1097784239. The next prime is 1097784253. The reversal of 1097784240 is 424877901.

It is a happy number.

1097784240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1097784192 and 1097784201.

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, 3257352 + ... + 3257688.

Almost surely, 21097784240 is an apocalyptic number.

1097784240 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 1097784240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992412656).

1097784240 is an abundant number, since it is smaller than the sum of its proper divisors (2887041072).

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

1097784240 is a wasteful number, since it uses less digits than its factorization.

1097784240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 1097784240 is about 33132.8272261816. The cubic root of 1097784240 is about 1031.5865328837.

The spelling of 1097784240 in words is "one billion, ninety-seven million, seven hundred eighty-four thousand, two hundred forty".