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4297040 = 2451119257
BaseRepresentation
bin10000011001000101010000
322002022102122
4100121011100
52100001130
6232033412
751344546
oct20310520
98068378
104297040
112475480
121532868
13b75b37
147dbd96
1559d2e5
hex419150

4297040 has 80 divisors (see below), whose sum is σ = 11517120. Its totient is φ = 1474560.

The previous prime is 4297037. The next prime is 4297043. The reversal of 4297040 is 407924.

It is an interprime number because it is at equal distance from previous prime (4297037) and next prime (4297043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4297043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16592 + ... + 16848.

It is an arithmetic number, because the mean of its divisors is an integer number (143964).

Almost surely, 24297040 is an apocalyptic number.

4297040 is a gapful number since it is divisible by the number (40) 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 4297040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758560).

4297040 is an abundant number, since it is smaller than the sum of its proper divisors (7220080).

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

4297040 is a wasteful number, since it uses less digits than its factorization.

4297040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 4297040 is about 2072.9302930875. The cubic root of 4297040 is about 162.5760117761.

The spelling of 4297040 in words is "four million, two hundred ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 152 176 190 209 220 257 304 380 418 440 514 760 836 880 1028 1045 1285 1520 1672 2056 2090 2570 2827 3344 4112 4180 4883 5140 5654 8360 9766 10280 11308 14135 16720 19532 20560 22616 24415 28270 39064 45232 48830 53713 56540 78128 97660 107426 113080 195320 214852 226160 268565 390640 429704 537130 859408 1074260 2148520 4297040