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30000096 = 2532723647
BaseRepresentation
bin111001001110…
…0001111100000
32002110011101200
41302130033200
530140000341
62551001200
7512665560
oct162341740
962404350
1030000096
1115a30575
12a069200
1362a5049
143dacda0
152978db6
hex1c9c3e0

30000096 has 144 divisors (see below), whose sum is σ = 101896704. Its totient is φ = 8186112.

The previous prime is 30000083. The next prime is 30000109. The reversal of 30000096 is 69000003.

It is an interprime number because it is at equal distance from previous prime (30000083) and next prime (30000109).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

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, 46045 + ... + 46691.

It is an arithmetic number, because the mean of its divisors is an integer number (707616).

Almost surely, 230000096 is an apocalyptic number.

30000096 is a gapful number since it is divisible by the number (36) 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 30000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50948352).

30000096 is an abundant number, since it is smaller than the sum of its proper divisors (71896608).

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

30000096 is a wasteful number, since it uses less digits than its factorization.

30000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 30000096 is about 5477.2343386056. The cubic root of 30000096 is about 310.7235820332.

Adding to 30000096 its reverse (69000003), we get a palindrome (99000099).

The spelling of 30000096 in words is "thirty million, ninety-six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 647 672 736 828 966 1008 1104 1288 1294 1449 1656 1932 1941 2016 2208 2576 2588 2898 3312 3864 3882 4529 5152 5176 5796 5823 6624 7728 7764 9058 10352 11592 11646 13587 14881 15456 15528 18116 20704 23184 23292 27174 29762 31056 36232 40761 44643 46368 46584 54348 59524 62112 72464 81522 89286 93168 104167 108696 119048 133929 144928 163044 178572 186336 208334 217392 238096 267858 312501 326088 357144 416668 434784 476192 535716 625002 652176 714288 833336 937503 1071432 1250004 1304352 1428576 1666672 1875006 2142864 2500008 3333344 3750012 4285728 5000016 7500024 10000032 15000048 30000096