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1004214112 = 25118773253
BaseRepresentation
bin111011110110110…
…001011101100000
32120222121100210021
4323312301131200
54024034322422
6243351443224
733612451636
oct7366613540
92528540707
101004214112
11475941a20
12240386514
13130084345
1497527356
155d264dc7
hex3bdb1760

1004214112 has 48 divisors (see below), whose sum is σ = 2159901072. Its totient is φ = 455800320.

The previous prime is 1004214097. The next prime is 1004214179. The reversal of 1004214112 is 2114124001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 307078 + ... + 310330.

It is an arithmetic number, because the mean of its divisors is an integer number (44997939).

Almost surely, 21004214112 is an apocalyptic number.

It is an amenable number.

1004214112 is an abundant number, since it is smaller than the sum of its proper divisors (1155686960).

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

1004214112 is a wasteful number, since it uses less digits than its factorization.

1004214112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1004214112 is about 31689.3375127976. The cubic root of 1004214112 is about 1001.4027354133.

Adding to 1004214112 its reverse (2114124001), we get a palindrome (3118338113).

The spelling of 1004214112 in words is "one billion, four million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 877 1754 3253 3508 6506 7016 9647 13012 14032 19294 26024 28064 35783 38588 52048 71566 77176 104096 143132 154352 286264 308704 572528 1145056 2852881 5705762 11411524 22823048 31381691 45646096 62763382 91292192 125526764 251053528 502107056 1004214112