Search a number
-
+
275004240 = 24357179629
BaseRepresentation
bin10000011001000…
…011101101010000
3201011110122220020
4100121003231100
51030400113430
643142143440
76546332430
oct2031035520
9634418806
10275004240
11131261835
1278121b80
1344c88804
14287482c0
1519222b10
hex10643b50

275004240 has 160 divisors (see below), whose sum is σ = 1031719680. Its totient is φ = 59154432.

The previous prime is 275004199. The next prime is 275004241. The reversal of 275004240 is 42400572.

275004240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 275004240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (275004241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23746 + ... + 33374.

It is an arithmetic number, because the mean of its divisors is an integer number (6448248).

Almost surely, 2275004240 is an apocalyptic number.

275004240 is a gapful number since it is divisible by the number (20) 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 275004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515859840).

275004240 is an abundant number, since it is smaller than the sum of its proper divisors (756715440).

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

275004240 is a wasteful number, since it uses less digits than its factorization.

275004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9669 (or 9663 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 275004240 is about 16583.2517920943. The cubic root of 275004240 is about 650.2990655344.

The spelling of 275004240 in words is "two hundred seventy-five million, four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1680 1785 1904 2040 2380 2856 3570 4080 4760 5712 7140 9520 9629 14280 19258 28560 28887 38516 48145 57774 67403 77032 96290 115548 134806 144435 154064 163693 192580 202209 231096 269612 288870 327386 337015 385160 404418 462192 491079 539224 577740 654772 674030 770320 808836 818465 982158 1011045 1078448 1145851 1155480 1309544 1348060 1617672 1636930 1964316 2022090 2291702 2310960 2455395 2619088 2696120 3235344 3273860 3437553 3928632 4044180 4583404 4910790 5392240 5729255 6547720 6875106 7857264 8088360 9166808 9821580 11458510 13095440 13750212 16176720 17187765 18333616 19643160 22917020 27500424 34375530 39286320 45834040 55000848 68751060 91668080 137502120 275004240