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2939112 = 2333111237
BaseRepresentation
bin1011001101100011101000
312112022201000
423031203220
51223022422
6142555000
733660561
oct13154350
95468630
102939112
111728220
12b98a60
137bba27
14567168
153d0cac
hex2cd8e8

2939112 has 64 divisors (see below), whose sum is σ = 8913600. Its totient is φ = 889920.

The previous prime is 2939107. The next prime is 2939117. The reversal of 2939112 is 2119392.

2939112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2939107) and next prime (2939117).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2939117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1758 + ... + 2994.

It is an arithmetic number, because the mean of its divisors is an integer number (139275).

22939112 is an apocalyptic number.

2939112 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 2939112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456800).

2939112 is an abundant number, since it is smaller than the sum of its proper divisors (5974488).

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

2939112 is a wasteful number, since it uses less digits than its factorization.

2939112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1253 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 2939112 is about 1714.3838543337. The cubic root of 2939112 is about 143.2425505295.

It can be divided in two parts, 29391 and 12, that added together give a triangular number (29403 = T242).

The spelling of 2939112 in words is "two million, nine hundred thirty-nine thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 1237 2376 2474 3711 4948 7422 9896 11133 13607 14844 22266 27214 29688 33399 40821 44532 54428 66798 81642 89064 108856 122463 133596 163284 244926 267192 326568 367389 489852 734778 979704 1469556 2939112