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30119712 = 2537219337
BaseRepresentation
bin111001011100…
…1011100100000
32002200020110220
41302321130200
530202312322
62553323040
7514004400
oct162713440
962606426
1030119712
1116002427
12a106480
13631761c
144000800
15299e55c
hex1cb9720

30119712 has 144 divisors (see below), whose sum is σ = 97100640. Its totient is φ = 8128512.

The previous prime is 30119681. The next prime is 30119717. The reversal of 30119712 is 21791103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30119717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89208 + ... + 89544.

It is an arithmetic number, because the mean of its divisors is an integer number (674310).

Almost surely, 230119712 is an apocalyptic number.

30119712 is a gapful number since it is divisible by the number (32) 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 30119712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48550320).

30119712 is an abundant number, since it is smaller than the sum of its proper divisors (66980928).

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

30119712 is a wasteful number, since it uses less digits than its factorization.

30119712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 30119712 is about 5488.1428552836. The cubic root of 30119712 is about 311.1360054154.

The spelling of 30119712 in words is "thirty million, one hundred nineteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 224 228 266 294 304 336 337 392 399 456 532 588 608 672 674 784 798 912 931 1011 1064 1176 1348 1568 1596 1824 1862 2022 2128 2352 2359 2696 2793 3192 3724 4044 4256 4704 4718 5392 5586 6384 6403 7077 7448 8088 9436 10784 11172 12768 12806 14154 14896 16176 16513 18872 19209 22344 25612 28308 29792 32352 33026 37744 38418 44688 44821 49539 51224 56616 66052 75488 76836 89376 89642 99078 102448 113232 132104 134463 153672 179284 198156 204896 226464 264208 268926 307344 313747 358568 396312 528416 537852 614688 627494 717136 792624 941241 1075704 1254988 1434272 1585248 1882482 2151408 2509976 3764964 4302816 5019952 7529928 10039904 15059856 30119712