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2940192 = 25334183
BaseRepresentation
bin1011001101110100100000
312112101012000
423031310200
51223041232
6143004000
733663663
oct13156440
95471160
102940192
111729012
12b99600
137bc378
145676da
153d127c
hex2cdd20

2940192 has 96 divisors (see below), whose sum is σ = 8890560. Its totient is φ = 944640.

The previous prime is 2940187. The next prime is 2940229. The reversal of 2940192 is 2910492.

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

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

It is a nialpdrome in base 12.

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, 35383 + ... + 35465.

It is an arithmetic number, because the mean of its divisors is an integer number (92610).

22940192 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 2940192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4445280).

2940192 is an abundant number, since it is smaller than the sum of its proper divisors (5950368).

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

2940192 is a wasteful number, since it uses less digits than its factorization.

2940192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2940192 is about 1714.6988073711. The cubic root of 2940192 is about 143.2600935844.

The spelling of 2940192 in words is "two million, nine hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 83 96 108 123 144 164 166 216 246 249 288 328 332 369 432 492 498 656 664 738 747 864 984 996 1107 1312 1328 1476 1494 1968 1992 2214 2241 2656 2952 2988 3403 3936 3984 4428 4482 5904 5976 6806 7968 8856 8964 10209 11808 11952 13612 17712 17928 20418 23904 27224 30627 35424 35856 40836 54448 61254 71712 81672 91881 108896 122508 163344 183762 245016 326688 367524 490032 735048 980064 1470096 2940192