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4376680 = 235731129
BaseRepresentation
bin10000101100100001101000
322020100200021
4100230201220
52110023210
6233450224
752126000
oct20544150
98210607
104376680
11251a2a0
121570974
13ba3169
1481d000
155b6bda
hex42c868

4376680 has 128 divisors (see below), whose sum is σ = 12960000. Its totient is φ = 1317120.

The previous prime is 4376663. The next prime is 4376681. The reversal of 4376680 is 866734.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4376681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150906 + ... + 150934.

It is an arithmetic number, because the mean of its divisors is an integer number (101250).

Almost surely, 24376680 is an apocalyptic number.

4376680 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 4376680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480000).

4376680 is an abundant number, since it is smaller than the sum of its proper divisors (8583320).

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

4376680 is a wasteful number, since it uses less digits than its factorization.

4376680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 4376680 is about 2092.0516246020. The cubic root of 4376680 is about 163.5742476547.

It can be divided in two parts, 437 and 6680, that added together give a palindrome (7117).

The spelling of 4376680 in words is "four million, three hundred seventy-six thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 29 35 40 44 49 55 56 58 70 77 88 98 110 116 140 145 154 196 203 220 232 245 280 290 308 319 343 385 392 406 440 490 539 580 616 638 686 770 812 980 1015 1078 1160 1276 1372 1421 1540 1595 1624 1715 1960 2030 2156 2233 2552 2695 2744 2842 3080 3190 3430 3773 4060 4312 4466 5390 5684 6380 6860 7105 7546 8120 8932 9947 10780 11165 11368 12760 13720 14210 15092 15631 17864 18865 19894 21560 22330 28420 30184 31262 37730 39788 44660 49735 56840 62524 75460 78155 79576 89320 99470 109417 125048 150920 156310 198940 218834 312620 397880 437668 547085 625240 875336 1094170 2188340 4376680