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2821272 = 2331923269
BaseRepresentation
bin1010110000110010011000
312022100001120
422300302120
51210240042
6140245240
732660166
oct12606230
95270046
102821272
111657733
12b40820
1377a1bc
14536236
153aadec
hex2b0c98

2821272 has 64 divisors (see below), whose sum is σ = 7776000. Its totient is φ = 849024.

The previous prime is 2821267. The next prime is 2821277. The reversal of 2821272 is 2721282.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2821267) and next prime (2821277).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2821277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10354 + ... + 10622.

It is an arithmetic number, because the mean of its divisors is an integer number (121500).

22821272 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 2821272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888000).

2821272 is an abundant number, since it is smaller than the sum of its proper divisors (4954728).

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

2821272 is a wasteful number, since it uses less digits than its factorization.

2821272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 2821272 is about 1679.6642521647. The cubic root of 2821272 is about 141.3020034586.

The spelling of 2821272 in words is "two million, eight hundred twenty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 269 276 437 456 538 552 807 874 1076 1311 1614 1748 2152 2622 3228 3496 5111 5244 6187 6456 10222 10488 12374 15333 18561 20444 24748 30666 37122 40888 49496 61332 74244 117553 122664 148488 235106 352659 470212 705318 940424 1410636 2821272