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128385792 = 2832103541
BaseRepresentation
bin1111010011100…
…00001100000000
322221120200012100
413221300030000
5230331321132
620423430400
73116155413
oct751601400
9287520170
10128385792
116651a167
1236bb5400
13207a1b32
141309db7a
15b41037c
hex7a70300

128385792 has 108 divisors (see below), whose sum is σ = 374452624. Its totient is φ = 42301440.

The previous prime is 128385779. The next prime is 128385797. The reversal of 128385792 is 297583821.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (128385797) 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, 237042 + ... + 237582.

Almost surely, 2128385792 is an apocalyptic number.

128385792 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 128385792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187226312).

128385792 is an abundant number, since it is smaller than the sum of its proper divisors (246066832).

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

128385792 is a wasteful number, since it uses less digits than its factorization.

128385792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 649 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 128385792 is about 11330.7454300236. The cubic root of 128385792 is about 504.4742323975.

The spelling of 128385792 in words is "one hundred twenty-eight million, three hundred eighty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 192 206 256 288 309 384 412 541 576 618 768 824 927 1082 1152 1236 1623 1648 1854 2164 2304 2472 3246 3296 3708 4328 4869 4944 6492 6592 7416 8656 9738 9888 12984 13184 14832 17312 19476 19776 25968 26368 29664 34624 38952 39552 51936 55723 59328 69248 77904 79104 103872 111446 118656 138496 155808 167169 207744 222892 237312 311616 334338 415488 445784 501507 623232 668676 891568 1003014 1246464 1337352 1783136 2006028 2674704 3566272 4012056 5349408 7132544 8024112 10698816 14265088 16048224 21397632 32096448 42795264 64192896 128385792