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994416960 = 263523291553
BaseRepresentation
bin111011010001011…
…001100101000000
32120022011121121210
4323101121211000
54014032320320
6242401450120
733433255545
oct7321314500
92508147553
10994416960
114703601a9
12239040940
1312b033c04
14960d6bcc
155c47c0e0
hex3b459940

994416960 has 224 divisors, whose sum is σ = 3410346240. Its totient is φ = 244744192.

The previous prime is 994416953. The next prime is 994416967. The reversal of 994416960 is 69614499.

It is an interprime number because it is at equal distance from previous prime (994416953) and next prime (994416967).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (994416967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 639544 + ... + 641096.

It is an arithmetic number, because the mean of its divisors is an integer number (15224760).

Almost surely, 2994416960 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 994416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705173120).

994416960 is an abundant number, since it is smaller than the sum of its proper divisors (2415929280).

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

994416960 is a wasteful number, since it uses less digits than its factorization.

994416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 994416960 is about 31534.3774316221. The cubic root of 994416960 is about 998.1355125136.

The spelling of 994416960 in words is "nine hundred ninety-four million, four hundred sixteen thousand, nine hundred sixty".