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996104000 = 2653124513
BaseRepresentation
bin111011010111110…
…101011101000000
32120102100022210202
4323113311131000
54020000312000
6242501544332
733453513203
oct7327653500
92512308722
10996104000
11471302751
122397150a8
1312b4a4a68
149641593a
155c6b1dd5
hex3b5f5740

996104000 has 56 divisors (see below), whose sum is σ = 2466871368. Its totient is φ = 398438400.

The previous prime is 996103993. The next prime is 996104009. The reversal of 996104000 is 401699.

It can be written as a sum of positive squares in 4 ways, for example, as 313431616 + 682672384 = 17704^2 + 26128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996104009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54257 + ... + 70256.

Almost surely, 2996104000 is an apocalyptic number.

It is an amenable number.

996104000 is an abundant number, since it is smaller than the sum of its proper divisors (1470767368).

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

996104000 is a wasteful number, since it uses less digits than its factorization.

996104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124540 (or 124520 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 996104000 is about 31561.1153161608. The cubic root of 996104000 is about 998.6996431383.

Adding to 996104000 its reverse (401699), we get a palindrome (996505699).

The spelling of 996104000 in words is "nine hundred ninety-six million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 124513 249026 498052 622565 996104 1245130 1992208 2490260 3112825 3984416 4980520 6225650 7968832 9961040 12451300 15564125 19922080 24902600 31128250 39844160 49805200 62256500 99610400 124513000 199220800 249026000 498052000 996104000