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996372720 = 2432571729401
BaseRepresentation
bin111011011000110…
…111000011110000
32120102211222102100
4323120313003300
54020032411340
6242511420400
733456012510
oct7330670360
92512758370
10996372720
11471476632
12239824700
1312b56a175
1496485840
155c716830
hex3b6370f0

996372720 has 480 divisors, whose sum is σ = 4199195520. Its totient is φ = 206438400.

The previous prime is 996372683. The next prime is 996372721. The reversal of 996372720 is 27273699.

It is a happy number.

996372720 is a `hidden beast` number, since 9 + 9 + 637 + 2 + 7 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996372721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2484520 + ... + 2484920.

It is an arithmetic number, because the mean of its divisors is an integer number (8748324).

Almost surely, 2996372720 is an apocalyptic number.

996372720 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 996372720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099597760).

996372720 is an abundant number, since it is smaller than the sum of its proper divisors (3202822800).

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

996372720 is a wasteful number, since it uses less digits than its factorization.

996372720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 996372720 is about 31565.3721663471. The cubic root of 996372720 is about 998.7894418069.

The spelling of 996372720 in words is "nine hundred ninety-six million, three hundred seventy-two thousand, seven hundred twenty".