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146930112 = 263474049
BaseRepresentation
bin10001100000111…
…11100111000000
3101020110211020000
420300133213000
5300103230422
622325120000
73432612450
oct1060374700
9336424200
10146930112
1175a3584a
1241259000
13245957c4
1415729d60
15cd74cac
hex8c1f9c0

146930112 has 140 divisors (see below), whose sum is σ = 497890800. Its totient is φ = 41969664.

The previous prime is 146930087. The next prime is 146930117. The reversal of 146930112 is 211039641.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146930117) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34264 + ... + 38312.

Almost surely, 2146930112 is an apocalyptic number.

146930112 is a gapful number since it is divisible by the number (12) 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 146930112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248945400).

146930112 is an abundant number, since it is smaller than the sum of its proper divisors (350960688).

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

146930112 is an equidigital number, since it uses as much as digits as its factorization.

146930112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4080 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 146930112 is about 12121.4731777949. The cubic root of 146930112 is about 527.6795576295.

Adding to 146930112 its reverse (211039641), we get a palindrome (357969753).

The spelling of 146930112 in words is "one hundred forty-six million, nine hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4049 4536 5184 6048 8098 9072 12096 12147 16196 18144 24294 28343 32392 36288 36441 48588 56686 64784 72882 85029 97176 109323 113372 129568 145764 170058 194352 218646 226744 255087 259136 291528 327969 340116 388704 437292 453488 510174 583056 655938 680232 765261 777408 874584 906976 1020348 1166112 1311876 1360464 1530522 1749168 1813952 2040696 2295783 2332224 2623752 2720928 3061044 3498336 4081392 4591566 5247504 5441856 6122088 6996672 8162784 9183132 10495008 12244176 16325568 18366264 20990016 24488352 36732528 48976704 73465056 146930112