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146104896 = 2637108709
BaseRepresentation
bin10001011010101…
…10001001000000
3101011220220020110
420231112021000
5244400324041
622255311320
73422604540
oct1055261100
9334826213
10146104896
1175521853
1240b1b540
1324367002
1415593320
15cc60516
hex8b56240

146104896 has 56 divisors (see below), whose sum is σ = 441797440. Its totient is φ = 41743872.

The previous prime is 146104873. The next prime is 146104921. The reversal of 146104896 is 698401641.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53011 + ... + 55698.

It is an arithmetic number, because the mean of its divisors is an integer number (7889240).

Almost surely, 2146104896 is an apocalyptic number.

146104896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146104896 is an abundant number, since it is smaller than the sum of its proper divisors (295692544).

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

146104896 is a wasteful number, since it uses less digits than its factorization.

146104896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108731 (or 108721 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 146104896 is about 12087.3858215910. The cubic root of 146104896 is about 526.6898186336.

The spelling of 146104896 in words is "one hundred forty-six million, one hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 108709 217418 326127 434836 652254 760963 869672 1304508 1521926 1739344 2282889 2609016 3043852 3478688 4565778 5218032 6087704 6957376 9131556 10436064 12175408 18263112 20872128 24350816 36526224 48701632 73052448 146104896