Search a number
-
+
274245120 = 2932511903
BaseRepresentation
bin10000010110001…
…010011000000000
3201010001002120200
4100112022120000
51030201320440
643114005200
76540021312
oct2026123000
9633032520
10274245120
11130893466
1277a16800
1344a81126
14285cb7b2
1519122c30
hex1058a600

274245120 has 120 divisors (see below), whose sum is σ = 949867776. Its totient is φ = 73125888.

The previous prime is 274245119. The next prime is 274245121. The reversal of 274245120 is 21542472.

It is an interprime number because it is at equal distance from previous prime (274245119) and next prime (274245121).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274245121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17089 + ... + 28991.

Almost surely, 2274245120 is an apocalyptic number.

274245120 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 274245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474933888).

274245120 is an abundant number, since it is smaller than the sum of its proper divisors (675622656).

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

274245120 is a wasteful number, since it uses less digits than its factorization.

274245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11932 (or 11913 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 274245120 is about 16560.3478224342. The cubic root of 274245120 is about 649.7001536147.

Adding to 274245120 its reverse (21542472), we get a palindrome (295787592).

The spelling of 274245120 in words is "two hundred seventy-four million, two hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 11903 23040 23806 35709 47612 59515 71418 95224 107127 119030 142836 178545 190448 214254 238060 285672 357090 380896 428508 476120 535635 571344 714180 761792 857016 952240 1071270 1142688 1428360 1523584 1714032 1904480 2142540 2285376 2856720 3047168 3428064 3808960 4285080 4570752 5713440 6094336 6856128 7617920 8570160 9141504 11426880 13712256 15235840 17140320 18283008 22853760 27424512 30471680 34280640 45707520 54849024 68561280 91415040 137122560 274245120