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120223728 = 24321767733
BaseRepresentation
bin1110010101001…
…11011111110000
322101012222221200
413022213133300
5221234124403
615532451200
72656612332
oct712473760
9271188850
10120223728
1161954959
1234319b00
131bba4a01
1411d77452
15a84bca3
hex72a77f0

120223728 has 120 divisors (see below), whose sum is σ = 362061648. Its totient is φ = 37103616.

The previous prime is 120223723. The next prime is 120223787. The reversal of 120223728 is 827322021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120223721) 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, 163650 + ... + 164382.

Almost surely, 2120223728 is an apocalyptic number.

120223728 is a gapful number since it is divisible by the number (18) 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 120223728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181030824).

120223728 is an abundant number, since it is smaller than the sum of its proper divisors (241837920).

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

120223728 is a wasteful number, since it uses less digits than its factorization.

120223728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 120223728 is about 10964.6581342056. The cubic root of 120223728 is about 493.5487582821.

Adding to 120223728 its reverse (827322021), we get a palindrome (947545749).

The spelling of 120223728 in words is "one hundred twenty million, two hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 67 68 72 102 134 136 144 153 201 204 268 272 306 402 408 536 603 612 733 804 816 1072 1139 1206 1224 1466 1608 2199 2278 2412 2448 2932 3216 3417 4398 4556 4824 5864 6597 6834 8796 9112 9648 10251 11728 12461 13194 13668 17592 18224 20502 24922 26388 27336 35184 37383 41004 49111 49844 52776 54672 74766 82008 98222 99688 105552 112149 147333 149532 164016 196444 199376 224298 294666 299064 392888 441999 448596 589332 598128 785776 834887 883998 897192 1178664 1669774 1767996 1794384 2357328 2504661 3339548 3535992 5009322 6679096 7071984 7513983 10018644 13358192 15027966 20037288 30055932 40074576 60111864 120223728