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30146112 = 2632199263
BaseRepresentation
bin111001011111…
…1111001000000
32002201120200200
41302333321000
530204133422
62554045200
7514144353
oct162777100
962646620
1030146112
1116020247
12a119800
136326649
14400a29a
1529a72ac
hex1cbfe40

30146112 has 84 divisors (see below), whose sum is σ = 87172800. Its totient is φ = 9960192.

The previous prime is 30146099. The next prime is 30146119. The reversal of 30146112 is 21164103.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (30146119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114493 + ... + 114755.

Almost surely, 230146112 is an apocalyptic number.

30146112 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 30146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43586400).

30146112 is an abundant number, since it is smaller than the sum of its proper divisors (57026688).

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

30146112 is a wasteful number, since it uses less digits than its factorization.

30146112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 30146112 is about 5490.5475136820. The cubic root of 30146112 is about 311.2268826882.

Subtracting from 30146112 its reverse (21164103), we obtain a square (8982009 = 29972).

The spelling of 30146112 in words is "thirty million, one hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 199 263 288 398 526 576 597 789 796 1052 1194 1578 1592 1791 2104 2367 2388 3156 3184 3582 4208 4734 4776 6312 6368 7164 8416 9468 9552 12624 12736 14328 16832 18936 19104 25248 28656 37872 38208 50496 52337 57312 75744 104674 114624 151488 157011 209348 314022 418696 471033 628044 837392 942066 1256088 1674784 1884132 2512176 3349568 3768264 5024352 7536528 10048704 15073056 30146112