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968196240 = 243451117247
BaseRepresentation
bin111001101101011…
…000000010010000
32111110211110120000
4321231120002100
53440324234430
6240023450000
732664350364
oct7155300220
92443743500
10968196240
11457581190
122302b6900
131257831ab
149282d2a4
1559eece60
hex39b58090

968196240 has 600 divisors, whose sum is σ = 3979780992. Its totient is φ = 216207360.

The previous prime is 968196221. The next prime is 968196259. The reversal of 968196240 is 42691869.

It is a happy number.

968196240 is a `hidden beast` number, since 9 + 6 + 8 + 19 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (968196221) and next prime (968196259).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20599897 + ... + 20599943.

Almost surely, 2968196240 is an apocalyptic number.

968196240 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 968196240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989890496).

968196240 is an abundant number, since it is smaller than the sum of its proper divisors (3011584752).

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

968196240 is a wasteful number, since it uses less digits than its factorization.

968196240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 968196240 is about 31115.8519086333. The cubic root of 968196240 is about 989.2843312542.

The spelling of 968196240 in words is "nine hundred sixty-eight million, one hundred ninety-six thousand, two hundred forty".