Search a number
-
+
128990070 = 23451131467
BaseRepresentation
bin1111011000000…
…11101101110110
322222201101010000
413230003231312
5231010140240
620444412130
73124253226
oct754035566
9288641100
10128990070
11668a2170
1237247046
1320953bb1
14131ba086
15b4ce430
hex7b03b76

128990070 has 160 divisors (see below), whose sum is σ = 391412736. Its totient is φ = 30196800.

The previous prime is 128990063. The next prime is 128990123. The reversal of 128990070 is 70099821.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 275977 + ... + 276443.

Almost surely, 2128990070 is an apocalyptic number.

128990070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128990070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195706368).

128990070 is an abundant number, since it is smaller than the sum of its proper divisors (262422666).

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

128990070 is a wasteful number, since it uses less digits than its factorization.

128990070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 128990070 is about 11357.3795393128. The cubic root of 128990070 is about 505.2644695176.

The spelling of 128990070 in words is "one hundred twenty-eight million, nine hundred ninety thousand, seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 31 33 45 54 55 62 66 81 90 93 99 110 135 155 162 165 186 198 270 279 297 310 330 341 405 465 467 495 558 594 682 810 837 891 930 934 990 1023 1395 1401 1485 1674 1705 1782 2046 2335 2511 2790 2802 2970 3069 3410 4185 4203 4455 4670 5022 5115 5137 6138 7005 8370 8406 8910 9207 10230 10274 12555 12609 14010 14477 15345 15411 18414 21015 25110 25218 25685 27621 28954 30690 30822 37827 42030 43431 46035 46233 51370 55242 63045 72385 75654 77055 86862 92070 92466 126090 130293 138105 138699 144770 154110 159247 189135 217155 231165 260586 276210 277398 318494 378270 390879 416097 434310 462330 477741 651465 693495 781758 796235 832194 955482 1172637 1302930 1386990 1433223 1592470 1954395 2080485 2345274 2388705 2866446 3908790 4160970 4299669 4777410 5863185 7166115 8599338 11726370 12899007 14332230 21498345 25798014 42996690 64495035 128990070