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1004235012 = 2232117334739
BaseRepresentation
bin111011110110110…
…110100100000100
32120222122102110100
4323312312210010
54024041010022
6243352124100
733612566604
oct7366664404
92528572410
101004235012
114759566a0
12240396630
13130090a01
1497530c04
155d26b1ac
hex3bdb6904

1004235012 has 72 divisors (see below), whose sum is σ = 2807269920. Its totient is φ = 300136320.

The previous prime is 1004234989. The next prime is 1004235053. The reversal of 1004235012 is 2105324001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11539 + ... + 46277.

It is an arithmetic number, because the mean of its divisors is an integer number (38989860).

Almost surely, 21004235012 is an apocalyptic number.

1004235012 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 1004235012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403634960).

1004235012 is an abundant number, since it is smaller than the sum of its proper divisors (1803034908).

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

1004235012 is a wasteful number, since it uses less digits than its factorization.

1004235012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34833 (or 34828 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1004235012 is about 31689.6672749968. The cubic root of 1004235012 is about 1001.4096825281.

Adding to 1004235012 its reverse (2105324001), we get a palindrome (3109559013).

It can be divided in two parts, 10042 and 35012, that added together give a palindrome (45054).

The spelling of 1004235012 in words is "one billion, four million, two hundred thirty-five thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 132 146 198 219 292 396 438 657 803 876 1314 1606 2409 2628 3212 4818 7227 9636 14454 28908 34739 69478 104217 138956 208434 312651 382129 416868 625302 764258 1146387 1250604 1528516 2292774 2535947 3439161 4585548 5071894 6878322 7607841 10143788 13756644 15215682 22823523 27895417 30431364 45647046 55790834 83686251 91294092 111581668 167372502 251058753 334745004 502117506 1004235012