Search a number
-
+
280094672 = 241121331359
BaseRepresentation
bin10000101100011…
…110011111010000
3201112001021122202
4100230132133100
51033201012142
643443222332
76640523354
oct2054363720
9645037582
10280094672
11134119300
12799779a8
134604b7c0
14292b1464
15198cb032
hex10b1e7d0

280094672 has 120 divisors (see below), whose sum is σ = 664957440. Its totient is φ = 113414400.

The previous prime is 280094663. The next prime is 280094677. The reversal of 280094672 is 276490082.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280094677) 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, 780029 + ... + 780387.

It is an arithmetic number, because the mean of its divisors is an integer number (5541312).

Almost surely, 2280094672 is an apocalyptic number.

280094672 is a gapful number since it is divisible by the number (22) 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 280094672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332478720).

280094672 is an abundant number, since it is smaller than the sum of its proper divisors (384862768).

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

280094672 is a wasteful number, since it uses less digits than its factorization.

280094672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 280094672 is about 16736.0291586744. The cubic root of 280094672 is about 654.2869866792.

The spelling of 280094672 in words is "two hundred eighty million, ninety-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 13 16 22 26 31 44 52 62 88 104 121 124 143 176 208 242 248 286 341 359 403 484 496 572 682 718 806 968 1144 1364 1436 1573 1612 1936 2288 2728 2872 3146 3224 3751 3949 4433 4667 5456 5744 6292 6448 7502 7898 8866 9334 11129 12584 15004 15796 17732 18668 22258 25168 30008 31592 35464 37336 43439 44516 48763 51337 60016 63184 70928 74672 86878 89032 97526 102674 122419 144677 173756 178064 195052 205348 244838 289354 347512 390104 410696 489676 564707 578708 695024 780208 821392 979352 1129414 1157416 1346609 1591447 1958704 2258828 2314832 2693218 3182894 4517656 5386436 6365788 9035312 10772872 12731576 17505917 21545744 25463152 35011834 70023668 140047336 280094672