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996941400 = 2335271319312
BaseRepresentation
bin111011011011000…
…001111001011000
32120110220212111120
4323123001321120
54020204111100
6242531525240
733463601460
oct7333017130
92513825446
10996941400
11471824914
12239a59820
1312b708c70
1496592ba0
155c7ca0a0
hex3b6c1e58

996941400 has 576 divisors, whose sum is σ = 4137235200. Its totient is φ = 192844800.

The previous prime is 996941383. The next prime is 996941423. The reversal of 996941400 is 4149699.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32159385 + ... + 32159415.

It is an arithmetic number, because the mean of its divisors is an integer number (7182700).

Almost surely, 2996941400 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 996941400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068617600).

996941400 is an abundant number, since it is smaller than the sum of its proper divisors (3140293800).

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

996941400 is a wasteful number, since it uses less digits than its factorization.

996941400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 996941400 is about 31574.3788537479. The cubic root of 996941400 is about 998.9794254486.

The spelling of 996941400 in words is "nine hundred ninety-six million, nine hundred forty-one thousand, four hundred".