Search a number
-
+
1003974916 = 227217595107
BaseRepresentation
bin111011110101110…
…111000100000100
32120222011012200011
4323311313010010
54024004144131
6243342400004
733610434400
oct7365670404
92528135604
101003974916
1147579923a
12240290004
1312cccc4c9
14974a4100
155d2190b1
hex3bd77104

1003974916 has 72 divisors (see below), whose sum is σ = 2201139360. Its totient is φ = 398022912.

The previous prime is 1003974893. The next prime is 1003974949. The reversal of 1003974916 is 6194793001.

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, 194035 + ... + 199141.

It is an arithmetic number, because the mean of its divisors is an integer number (30571380).

Almost surely, 21003974916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003974916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100569680).

1003974916 is an abundant number, since it is smaller than the sum of its proper divisors (1197164444).

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

1003974916 is a wasteful number, since it uses less digits than its factorization.

1003974916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201 (or 5192 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 1003974916 is about 31685.5632110272. The cubic root of 1003974916 is about 1001.3232203157.

The spelling of 1003974916 in words is "one billion, three million, nine hundred seventy-four thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 49 59 68 98 118 119 196 236 238 413 476 826 833 1003 1652 1666 2006 2891 3332 4012 5107 5782 7021 10214 11564 14042 20428 28084 35749 49147 71498 86819 98294 142996 173638 196588 250243 301313 347276 500486 602626 607733 1000972 1205252 1215466 2109191 2430932 4218382 4254131 5122321 8436764 8508262 10244642 14764337 17016524 20489284 29528674 35856247 59057348 71712494 143424988 250993729 501987458 1003974916