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996051420 = 2232573131773
BaseRepresentation
bin111011010111101…
…000100111011100
32120102020122200100
4323113220213130
54014442121140
6242500501100
733453204000
oct7327504734
92512218610
10996051420
114712771a1
122396aa790
1312b486b50
1496400700
155c6a1530
hex3b5e89dc

996051420 has 576 divisors, whose sum is σ = 4072723200. Its totient is φ = 195084288.

The previous prime is 996051379. The next prime is 996051451. The reversal of 996051420 is 24150699.

996051420 is a `hidden beast` number, since 9 + 9 + 605 + 1 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13644504 + ... + 13644576.

It is an arithmetic number, because the mean of its divisors is an integer number (7070700).

Almost surely, 2996051420 is an apocalyptic number.

996051420 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 996051420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036361600).

996051420 is an abundant number, since it is smaller than the sum of its proper divisors (3076671780).

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

996051420 is a wasteful number, since it uses less digits than its factorization.

996051420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 996051420 is about 31560.2823181289. The cubic root of 996051420 is about 998.6820704915.

It can be divided in two parts, 99605 and 1420, that added together give a triangular number (101025 = T449).

The spelling of 996051420 in words is "nine hundred ninety-six million, fifty-one thousand, four hundred twenty".