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274875216 = 24371126761
BaseRepresentation
bin10000011000100…
…100001101010000
3201011020002220120
4100120210031100
51030332001331
643135310240
76545254320
oct2030441520
9634202816
10274875216
11131183900
127807b380
1344c41b75
1428713280
15191e9796
hex10624350

274875216 has 120 divisors (see below), whose sum is σ = 892151232. Its totient is φ = 71385600.

The previous prime is 274875203. The next prime is 274875217. The reversal of 274875216 is 612578472.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274875217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37276 + ... + 44036.

Almost surely, 2274875216 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 274875216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446075616).

274875216 is an abundant number, since it is smaller than the sum of its proper divisors (617276016).

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

274875216 is a wasteful number, since it uses less digits than its factorization.

274875216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6801 (or 6784 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The square root of 274875216 is about 16579.3611457137. The cubic root of 274875216 is about 650.1973491489.

The spelling of 274875216 in words is "two hundred seventy-four million, eight hundred seventy-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 121 132 154 168 176 231 242 264 308 336 363 462 484 528 616 726 847 924 968 1232 1452 1694 1848 1936 2541 2904 3388 3696 5082 5808 6761 6776 10164 13522 13552 20283 20328 27044 40566 40656 47327 54088 74371 81132 94654 108176 141981 148742 162264 189308 223113 283962 297484 324528 378616 446226 520597 567924 594968 757232 818081 892452 1041194 1135848 1189936 1561791 1636162 1784904 2082388 2271696 2454243 3123582 3272324 3569808 4164776 4908486 5726567 6247164 6544648 8329552 9816972 11453134 12494328 13089296 17179701 19633944 22906268 24988656 34359402 39267888 45812536 68718804 91625072 137437608 274875216