Search a number
-
+
276822240 = 25352412393
BaseRepresentation
bin10000011111111…
…111100011100000
3201021220000201120
4100133333203200
51031331302430
643245132240
76600643632
oct2037774340
9637800646
10276822240
11132293712
127885a080
1345474156
1428a9ca52
1519481610
hex107ff8e0

276822240 has 96 divisors (see below), whose sum is σ = 875974176. Its totient is φ = 73482240.

The previous prime is 276822239. The next prime is 276822269. The reversal of 276822240 is 42228672.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114484 + ... + 116876.

It is an arithmetic number, because the mean of its divisors is an integer number (9124731).

Almost surely, 2276822240 is an apocalyptic number.

276822240 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 276822240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437987088).

276822240 is an abundant number, since it is smaller than the sum of its proper divisors (599151936).

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

276822240 is a wasteful number, since it uses less digits than its factorization.

276822240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 276822240 is about 16637.9758384246. The cubic root of 276822240 is about 651.7289198913.

The spelling of 276822240 in words is "two hundred seventy-six million, eight hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 241 480 482 723 964 1205 1446 1928 2393 2410 2892 3615 3856 4786 4820 5784 7179 7230 7712 9572 9640 11568 11965 14358 14460 19144 19280 23136 23930 28716 28920 35895 38288 38560 47860 57432 57840 71790 76576 95720 114864 115680 143580 191440 229728 287160 382880 574320 576713 1148640 1153426 1730139 2306852 2883565 3460278 4613704 5767130 6920556 8650695 9227408 11534260 13841112 17301390 18454816 23068520 27682224 34602780 46137040 55364448 69205560 92274080 138411120 276822240