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1000000920 = 233571117371
BaseRepresentation
bin111011100110101…
…100110110011000
32120200200022101010
4323212230312120
54022000012140
6243121253520
733531603402
oct7346546630
92520608333
101000000920
11473524546
1223aa942a0
1312c23a729
1496b4bb72
155cbd1880
hex3b9acd98

1000000920 has 64 divisors (see below), whose sum is σ = 3042282240. Its totient is φ = 262908800.

The previous prime is 1000000919. The next prime is 1000000931. The reversal of 1000000920 is 290000001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000000896 and 1000000905.

It is a congruent number.

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, 50166 + ... + 67205.

It is an arithmetic number, because the mean of its divisors is an integer number (47535660).

Almost surely, 21000000920 is an apocalyptic number.

1000000920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000000920 is an abundant number, since it is smaller than the sum of its proper divisors (2042281320).

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

1000000920 is a wasteful number, since it uses less digits than its factorization.

1000000920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117456 (or 117452 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1000000920 is about 31622.7911481577. The cubic root of 1000000920 is about 1000.0003066666. Note that the first 3 decimals are identical.

Adding to 1000000920 its reverse (290000001), we get a palindrome (1290000921).

The spelling of 1000000920 in words is "one billion, nine hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 117371 234742 352113 469484 586855 704226 938968 1173710 1408452 1760565 2347420 2816904 3521130 4694840 7042260 8333341 14084520 16666682 25000023 33333364 41666705 50000046 66666728 83333410 100000092 125000115 166666820 200000184 250000230 333333640 500000460 1000000920