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4204980 = 2233513599
BaseRepresentation
bin10000000010100110110100
321220122011000
4100002212310
52034024410
6230043300
750512263
oct20024664
97818130
104204980
11241229a
1214a9530
13b42c70
147b65da
15580dc0
hex4029b4

4204980 has 96 divisors (see below), whose sum is σ = 14112000. Its totient is φ = 1033344.

The previous prime is 4204973. The next prime is 4204997. The reversal of 4204980 is 894024.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6721 + ... + 7319.

It is an arithmetic number, because the mean of its divisors is an integer number (147000).

Almost surely, 24204980 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 4204980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056000).

4204980 is an abundant number, since it is smaller than the sum of its proper divisors (9907020).

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

4204980 is a wasteful number, since it uses less digits than its factorization.

4204980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4204980 is about 2050.6047888367. The cubic root of 4204980 is about 161.4066082617.

It can be divided in two parts, 4204 and 980, that added together give a square (5184 = 722).

The spelling of 4204980 in words is "four million, two hundred four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 599 702 780 1170 1198 1404 1755 1797 2340 2396 2995 3510 3594 5391 5990 7020 7188 7787 8985 10782 11980 15574 16173 17970 21564 23361 26955 31148 32346 35940 38935 46722 53910 64692 70083 77870 80865 93444 107820 116805 140166 155740 161730 210249 233610 280332 323460 350415 420498 467220 700830 840996 1051245 1401660 2102490 4204980