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128225240 = 235111329773
BaseRepresentation
bin1111010010010…
…00111111011000
322221021111221222
413221020333120
5230311201430
620420151212
73114616343
oct751107730
9287244858
10128225240
116641a580
1236b38508
1320746a30
141305b45a
15b3cc9e5
hex7a48fd8

128225240 has 128 divisors (see below), whose sum is σ = 351086400. Its totient is φ = 41502720.

The previous prime is 128225213. The next prime is 128225261. The reversal of 128225240 is 42522821.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165494 + ... + 166266.

Almost surely, 2128225240 is an apocalyptic number.

128225240 is a gapful number since it is divisible by the number (10) 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 128225240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175543200).

128225240 is an abundant number, since it is smaller than the sum of its proper divisors (222861160).

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

128225240 is a wasteful number, since it uses less digits than its factorization.

128225240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 128225240 is about 11323.6584194332. The cubic root of 128225240 is about 504.2638557105.

The spelling of 128225240 in words is "one hundred twenty-eight million, two hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 29 40 44 52 55 58 65 88 104 110 116 130 143 145 220 232 260 286 290 319 377 440 520 572 580 638 715 754 773 1144 1160 1276 1430 1508 1546 1595 1885 2552 2860 3016 3092 3190 3770 3865 4147 5720 6184 6380 7540 7730 8294 8503 10049 12760 15080 15460 16588 17006 20098 20735 22417 30920 33176 34012 40196 41470 42515 44834 50245 68024 80392 82940 85030 89668 100490 110539 112085 165880 170060 179336 200980 221078 224170 246587 291421 340120 401960 442156 448340 493174 552695 582842 884312 896680 986348 1105390 1165684 1232935 1457105 1972696 2210780 2331368 2465870 2914210 3205631 4421560 4931740 5828420 6411262 9863480 11656840 12822524 16028155 25645048 32056310 64112620 128225240