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103002004 = 22723414783
BaseRepresentation
bin1100010001110…
…10111110010100
321011211001012001
412020322332110
5202332031004
614115405044
72360334250
oct610727624
9234731161
10103002004
1153161a26
122a5b3784
1318455041
14d973260
1590991a4
hex623af94

103002004 has 96 divisors (see below), whose sum is σ = 227598336. Its totient is φ = 39832320.

The previous prime is 103001999. The next prime is 103002019. The reversal of 103002004 is 400200301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1240947 + ... + 1241029.

It is an arithmetic number, because the mean of its divisors is an integer number (2370816).

Almost surely, 2103002004 is an apocalyptic number.

103002004 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 103002004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113799168).

103002004 is an abundant number, since it is smaller than the sum of its proper divisors (124596332).

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

103002004 is a wasteful number, since it uses less digits than its factorization.

103002004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 103002004 is about 10148.9902946057. The cubic root of 103002004 is about 468.7578548254.

Adding to 103002004 its reverse (400200301), we get a palindrome (503202305).

The spelling of 103002004 in words is "one hundred three million, two thousand, four".

Divisors: 1 2 4 7 14 23 28 41 46 47 82 83 92 94 161 164 166 188 287 322 329 332 574 581 644 658 943 1081 1148 1162 1316 1886 1909 1927 2162 2324 3403 3772 3818 3854 3901 4324 6601 6806 7567 7636 7708 7802 13202 13363 13489 13612 15134 15604 23821 26404 26726 26978 27307 30268 44321 47642 53452 53956 54614 78269 88642 89723 95284 109228 156538 159941 177284 179446 310247 313076 319882 358892 547883 620494 628061 639764 1095766 1119587 1240988 1256122 2191532 2239174 2512244 3678643 4478348 7357286 14714572 25750501 51501002 103002004