Search a number
-
+
128511240 = 233511137489
BaseRepresentation
bin1111010100011…
…10110100001000
322221211001021120
413222032310020
5230344324430
620430235240
73120220224
oct752166410
9287731246
10128511240
11665a5440
1237055b20
1320816c70
14130d3784
15b437610
hex7a8ed08

128511240 has 128 divisors (see below), whose sum is σ = 452995200. Its totient is φ = 28753920.

The previous prime is 128511217. The next prime is 128511241. The reversal of 128511240 is 42115821.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 128511240.

It is not an unprimeable number, because it can be changed into a prime (128511241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13416 + ... + 20904.

It is an arithmetic number, because the mean of its divisors is an integer number (3539025).

Almost surely, 2128511240 is an apocalyptic number.

128511240 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 128511240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226497600).

128511240 is an abundant number, since it is smaller than the sum of its proper divisors (324483960).

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

128511240 is a wasteful number, since it uses less digits than its factorization.

128511240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7527 (or 7523 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 128511240 is about 11336.2798130604. The cubic root of 128511240 is about 504.6384891046.

The spelling of 128511240 in words is "one hundred twenty-eight million, five hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 7489 8580 14978 17160 22467 29956 37445 44934 59912 74890 82379 89868 97357 112335 149780 164758 179736 194714 224670 247137 292071 299560 329516 389428 411895 449340 486785 494274 584142 659032 778856 823790 898680 973570 988548 1070927 1168284 1235685 1460355 1647580 1947140 1977096 2141854 2336568 2471370 2920710 3212781 3295160 3894280 4283708 4942740 5354635 5841420 6425562 8567416 9885480 10709270 11682840 12851124 16063905 21418540 25702248 32127810 42837080 64255620 128511240