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1000012992 = 263111034597
BaseRepresentation
bin111011100110101…
…111110011000000
32120200200220221020
4323212233303000
54022000403432
6243121425440
733531653526
oct7346576300
92520626836
101000012992
11473532620
1223aa9b280
1312c243084
1496b52316
155cbd522c
hex3b9afcc0

1000012992 has 112 divisors (see below), whose sum is σ = 2915058432. Its totient is φ = 300026880.

The previous prime is 1000012963. The next prime is 1000013011. The reversal of 1000012992 is 2992100001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 215238 + ... + 219834.

Almost surely, 21000012992 is an apocalyptic number.

1000012992 is a gapful number since it is divisible by the number (12) 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 1000012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457529216).

1000012992 is an abundant number, since it is smaller than the sum of its proper divisors (1915045440).

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

1000012992 is a wasteful number, since it uses less digits than its factorization.

1000012992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 4716 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 1000012992 is about 31622.9820225734. The cubic root of 1000012992 is about 1000.0043306479.

Adding to 1000012992 its reverse (2992100001), we get a palindrome (3992112993).

It can be divided in two parts, 100001 and 2992, that multiplied together give a palindrome (299202992).

The spelling of 1000012992 in words is "one billion, twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 103 132 176 192 206 264 309 352 412 528 618 704 824 1056 1133 1236 1648 2112 2266 2472 3296 3399 4532 4597 4944 6592 6798 9064 9194 9888 13596 13791 18128 18388 19776 27192 27582 36256 36776 50567 54384 55164 72512 73552 101134 108768 110328 147104 151701 202268 217536 220656 294208 303402 404536 441312 473491 606804 809072 882624 946982 1213608 1420473 1618144 1893964 2427216 2840946 3236288 3787928 4854432 5208401 5681892 7575856 9708864 10416802 11363784 15151712 15625203 20833604 22727568 30303424 31250406 41667208 45455136 62500812 83334416 90910272 125001624 166668832 250003248 333337664 500006496 1000012992