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148104768 = 2637263419
BaseRepresentation
bin10001101001111…
…10011001000000
3101022200111112210
420310332121000
5300403323033
622410222120
73445604220
oct1064763100
9338614483
10148104768
1176668339
1241724940
13248b7376
1415954080
15d007d63
hex8d3e640

148104768 has 112 divisors (see below), whose sum is σ = 450616320. Its totient is φ = 42054144.

The previous prime is 148104757. The next prime is 148104823. The reversal of 148104768 is 867401841.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353263 + ... + 353681.

It is an arithmetic number, because the mean of its divisors is an integer number (4023360).

Almost surely, 2148104768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225308160).

148104768 is an abundant number, since it is smaller than the sum of its proper divisors (302511552).

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

148104768 is a wasteful number, since it uses less digits than its factorization.

148104768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 148104768 is about 12169.8302371068. The cubic root of 148104768 is about 529.0820326780.

The spelling of 148104768 in words is "one hundred forty-eight million, one hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 263 336 419 448 526 672 789 838 1052 1257 1344 1578 1676 1841 2104 2514 2933 3156 3352 3682 4208 5028 5523 5866 6312 6704 7364 8416 8799 10056 11046 11732 12624 13408 14728 16832 17598 20112 22092 23464 25248 26816 29456 35196 40224 44184 46928 50496 58912 70392 80448 88368 93856 110197 117824 140784 176736 187712 220394 281568 330591 353472 440788 563136 661182 771379 881576 1322364 1542758 1763152 2314137 2644728 3085516 3526304 4628274 5289456 6171032 7052608 9256548 10578912 12342064 18513096 21157824 24684128 37026192 49368256 74052384 148104768