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1010000404 = 2271910118797
BaseRepresentation
bin111100001100110…
…110001000010100
32121101111100002101
4330030312020110
54032030003104
6244115451444
734012601410
oct7414661024
92541440071
101010000404
11479134286
122422b6b84
1313132bc9a
14981d1d40
155da095a4
hex3c336214

1010000404 has 48 divisors (see below), whose sum is σ = 2147483520. Its totient is φ = 405993600.

The previous prime is 1010000401. The next prime is 1010000417. The reversal of 1010000404 is 4040000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010000401) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 44334 + ... + 63130.

It is an arithmetic number, because the mean of its divisors is an integer number (44739240).

Almost surely, 21010000404 is an apocalyptic number.

1010000404 is a gapful number since it is divisible by the number (14) 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 1010000404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073741760).

1010000404 is an abundant number, since it is smaller than the sum of its proper divisors (1137483116).

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

1010000404 is a wasteful number, since it uses less digits than its factorization.

1010000404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18928 (or 18926 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1010000404 is about 31780.5035202402. The cubic root of 1010000404 is about 1003.3224173184.

Adding to 1010000404 its reverse (4040000101), we get a palindrome (5050000505).

It can be divided in two parts, 1010000 and 404, that multiplied together give a square (408040000 = 202002).

The spelling of 1010000404 in words is "one billion, ten million, four hundred four", and thus it is an aban number.

Divisors: 1 2 4 7 14 19 28 38 76 101 133 202 266 404 532 707 1414 1919 2828 3838 7676 13433 18797 26866 37594 53732 75188 131579 263158 357143 526316 714286 1428572 1898497 2500001 3796994 5000002 7593988 10000004 13289479 26578958 36071443 53157916 72142886 144285772 252500101 505000202 1010000404