[go: up one dir, main page]

Search a number
-
+
32250680 = 23571137283
BaseRepresentation
bin111101100000…
…1101100111000
32020200111121122
41323001230320
531224010210
63111124412
7541061210
oct173015470
966614548
1032250680
1117228460
12a973708
1368b2557
1443d7240
152c70b55
hex1ec1b38

32250680 has 128 divisors (see below), whose sum is σ = 93242880. Its totient is φ = 9745920.

The previous prime is 32250671. The next prime is 32250689. The reversal of 32250680 is 8605223.

It is an interprime number because it is at equal distance from previous prime (32250671) and next prime (32250689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32250689) 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, 113819 + ... + 114101.

It is an arithmetic number, because the mean of its divisors is an integer number (728460).

Almost surely, 232250680 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 32250680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46621440).

32250680 is an abundant number, since it is smaller than the sum of its proper divisors (60992200).

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

32250680 is a wasteful number, since it uses less digits than its factorization.

32250680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 32250680 is about 5678.9682161463. The cubic root of 32250680 is about 318.3070751864.

The spelling of 32250680 in words is "thirty-two million, two hundred fifty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 37 40 44 55 56 70 74 77 88 110 140 148 154 185 220 259 280 283 296 308 370 385 407 440 518 566 616 740 770 814 1036 1132 1295 1415 1480 1540 1628 1981 2035 2072 2264 2590 2830 2849 3080 3113 3256 3962 4070 5180 5660 5698 6226 7924 8140 9905 10360 10471 11320 11396 12452 14245 15565 15848 16280 19810 20942 21791 22792 24904 28490 31130 39620 41884 43582 52355 56980 62260 73297 79240 83768 87164 104710 108955 113960 115181 124520 146594 174328 209420 217910 230362 293188 366485 418840 435820 460724 575905 586376 732970 806267 871640 921448 1151810 1465940 1612534 2303620 2931880 3225068 4031335 4607240 6450136 8062670 16125340 32250680