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996174100 = 2252113199443
BaseRepresentation
bin111011011000000…
…110100100010100
32120102110212222001
4323120012210110
54020010032400
6242503245044
733454224445
oct7330064424
92512425861
10996174100
11471350389
12239749784
1312b4ca93c
14964332cc
155c6c7a6a
hex3b606914

996174100 has 72 divisors (see below), whose sum is σ = 2196734400. Its totient is φ = 392071680.

The previous prime is 996174073. The next prime is 996174131. The reversal of 996174100 is 1471699.

It is a self number, because there is not a number n which added to its sum of digits gives 996174100.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2248479 + ... + 2248921.

It is an arithmetic number, because the mean of its divisors is an integer number (30510200).

Almost surely, 2996174100 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 996174100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098367200).

996174100 is an abundant number, since it is smaller than the sum of its proper divisors (1200560300).

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

996174100 is a wasteful number, since it uses less digits than its factorization.

996174100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 996174100 is about 31562.2258403934. The cubic root of 996174100 is about 998.7230701442.

The spelling of 996174100 in words is "nine hundred ninety-six million, one hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 199 226 398 443 452 565 796 886 995 1130 1772 1990 2215 2260 2825 3980 4430 4975 5650 8860 9950 11075 11300 19900 22150 22487 44300 44974 50059 88157 89948 100118 112435 176314 200236 224870 250295 352628 440785 449740 500590 562175 881570 1001180 1124350 1251475 1763140 2203925 2248700 2502950 4407850 5005900 8815700 9961741 19923482 39846964 49808705 99617410 199234820 249043525 498087050 996174100