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4144980 = 2235771139
BaseRepresentation
bin1111110011111101010100
321210120211210
433303331110
52030114410
6224501420
750142330
oct17637524
97716753
104144980
112381204
12147a870
13b21868
1479c7c0
1556d220
hex3f3f54

4144980 has 96 divisors (see below), whose sum is σ = 13547520. Its totient is φ = 927360.

The previous prime is 4144969. The next prime is 4144981. The reversal of 4144980 is 894414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144981) 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, 29751 + ... + 29889.

It is an arithmetic number, because the mean of its divisors is an integer number (141120).

Almost surely, 24144980 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 4144980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6773760).

4144980 is an abundant number, since it is smaller than the sum of its proper divisors (9402540).

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

4144980 is a wasteful number, since it uses less digits than its factorization.

4144980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4144980 is about 2035.9223953776. The cubic root of 4144980 is about 160.6352350566.

The spelling of 4144980 in words is "four million, one hundred forty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 139 140 142 210 213 278 284 355 417 420 426 497 556 695 710 834 852 973 994 1065 1390 1420 1491 1668 1946 1988 2085 2130 2485 2780 2919 2982 3892 4170 4260 4865 4970 5838 5964 7455 8340 9730 9869 9940 11676 14595 14910 19460 19738 29190 29607 29820 39476 49345 58380 59214 69083 98690 118428 138166 148035 197380 207249 276332 296070 345415 414498 592140 690830 828996 1036245 1381660 2072490 4144980