Search a number
-
+
275714432 = 2771723787
BaseRepresentation
bin10000011011110…
…001000110000000
3201012210202002122
4100123301012000
51031040330212
643205303412
76555351110
oct2033610600
9635722078
10275714432
111316a7374
1278404b68
1345176b46
1428891040
1519313272
hex106f1180

275714432 has 128 divisors (see below), whose sum is σ = 694448640. Its totient is φ = 106242048.

The previous prime is 275714431. The next prime is 275714437. The reversal of 275714432 is 234417572.

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

It is a junction number, because it is equal to n+sod(n) for n = 275714392 and 275714401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275714431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349943 + ... + 350729.

It is an arithmetic number, because the mean of its divisors is an integer number (5425380).

Almost surely, 2275714432 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 275714432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347224320).

275714432 is an abundant number, since it is smaller than the sum of its proper divisors (418734208).

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

275714432 is a wasteful number, since it uses less digits than its factorization.

275714432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 836 counting only the distinct ones).

The product of its digits is 47040, while the sum is 35.

The square root of 275714432 is about 16604.6509147287. The cubic root of 275714432 is about 650.8583783679.

The spelling of 275714432 in words is "two hundred seventy-five million, seven hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 23 28 32 34 46 56 64 68 92 112 119 128 136 161 184 224 238 272 322 368 391 448 476 544 644 736 782 787 896 952 1088 1288 1472 1564 1574 1904 2176 2576 2737 2944 3128 3148 3808 5152 5474 5509 6256 6296 7616 10304 10948 11018 12512 12592 13379 15232 18101 20608 21896 22036 25024 25184 26758 36202 43792 44072 50048 50368 53516 72404 87584 88144 93653 100736 107032 126707 144808 175168 176288 187306 214064 253414 289616 307717 350336 352576 374612 428128 506828 579232 615434 705152 749224 856256 1013656 1158464 1230868 1498448 1712512 2027312 2154019 2316928 2461736 2996896 4054624 4308038 4923472 5993792 8109248 8616076 9846944 11987584 16218496 17232152 19693888 34464304 39387776 68928608 137857216 275714432