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1030000104 = 23337798623
BaseRepresentation
bin111101011001001…
…000110111101000
32122210010102112000
4331121020313220
54102140000404
6250112251000
734344566520
oct7531106750
92583112460
101030000104
11489454361
12248b40a60
13135512223
149ab1a680
156065a339
hex3d648de8

1030000104 has 128 divisors (see below), whose sum is σ = 3311616000. Its totient is φ = 290526912.

The previous prime is 1030000091. The next prime is 1030000123. The reversal of 1030000104 is 4010000301.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 115137 + ... + 123759.

It is an arithmetic number, because the mean of its divisors is an integer number (25872000).

Almost surely, 21030000104 is an apocalyptic number.

1030000104 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 1030000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655808000).

1030000104 is an abundant number, since it is smaller than the sum of its proper divisors (2281615896).

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

1030000104 is a wasteful number, since it uses less digits than its factorization.

1030000104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8724 (or 8714 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1030000104 is about 32093.6146920225. The cubic root of 1030000104 is about 1009.9016680402.

Adding to 1030000104 its reverse (4010000301), we get a palindrome (5040000405).

The spelling of 1030000104 in words is "one billion, thirty million, one hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 79 84 108 126 158 168 189 216 237 252 316 378 474 504 553 632 711 756 948 1106 1422 1512 1659 1896 2133 2212 2844 3318 4266 4424 4977 5688 6636 8532 8623 9954 13272 14931 17064 17246 19908 25869 29862 34492 39816 51738 59724 60361 68984 77607 103476 119448 120722 155214 181083 206952 232821 241444 310428 362166 465642 482888 543249 620856 681217 724332 931284 1086498 1362434 1448664 1629747 1862568 2043651 2172996 2724868 3259494 4087302 4345992 4768519 5449736 6130953 6518988 8174604 9537038 12261906 13037976 14305557 16349208 18392859 19074076 24523812 28611114 36785718 38148152 42916671 49047624 57222228 73571436 85833342 114444456 128750013 147142872 171666684 257500026 343333368 515000052 1030000104