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119520128 = 2771331331
BaseRepresentation
bin1110001111110…
…11101110000000
322022220020210102
413013323232000
5221044121003
615505421532
72650622120
oct707735600
9268806712
10119520128
1161514272
123403a8a8
131b9b9690
1411c32c80
15a75d588
hex71fbb80

119520128 has 128 divisors (see below), whose sum is σ = 303421440. Its totient is φ = 45619200.

The previous prime is 119520119. The next prime is 119520133. The reversal of 119520128 is 821025911.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 119520128.

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, 360923 + ... + 361253.

It is an arithmetic number, because the mean of its divisors is an integer number (2370480).

Almost surely, 2119520128 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 119520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151710720).

119520128 is an abundant number, since it is smaller than the sum of its proper divisors (183901312).

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

119520128 is a wasteful number, since it uses less digits than its factorization.

119520128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 29.

The square root of 119520128 is about 10932.5261490655. The cubic root of 119520128 is about 492.5840553280.

The spelling of 119520128 in words is "one hundred nineteen million, five hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 128 182 208 217 224 248 331 364 403 416 434 448 496 662 728 806 832 868 896 992 1324 1456 1612 1664 1736 1984 2317 2648 2821 2912 3224 3472 3968 4303 4634 5296 5642 5824 6448 6944 8606 9268 10261 10592 11284 11648 12896 13888 17212 18536 20522 21184 22568 25792 27776 30121 34424 37072 41044 42368 45136 51584 60242 68848 71827 74144 82088 90272 120484 133393 137696 143654 148288 164176 180544 240968 266786 275392 287308 296576 328352 361088 481936 533572 550784 574616 656704 933751 963872 1067144 1149232 1313408 1867502 1927744 2134288 2298464 3735004 3855488 4268576 4596928 7470008 8537152 9193856 14940016 17074304 29880032 59760064 119520128