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4211480 = 235713289
BaseRepresentation
bin10000000100001100011000
321220222001202
4100010030120
52034231410
6230133332
750540240
oct20041430
97828052
104211480
112417169
1214b1248
13b45c00
147b8b20
15582ca5
hex404318

4211480 has 96 divisors (see below), whose sum is σ = 11858400. Its totient is φ = 1317888.

The previous prime is 4211423. The next prime is 4211491. The reversal of 4211480 is 841124.

4211480 = T231 + T232 + ... + T334.

4211480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47276 + ... + 47364.

It is an arithmetic number, because the mean of its divisors is an integer number (123525).

Almost surely, 24211480 is an apocalyptic number.

4211480 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 4211480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929200).

4211480 is an abundant number, since it is smaller than the sum of its proper divisors (7646920).

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

4211480 is a wasteful number, since it uses less digits than its factorization.

4211480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 4211480 is about 2052.1890751098. The cubic root of 4211480 is about 161.4897321476.

The spelling of 4211480 in words is "four million, two hundred eleven thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 89 91 104 130 140 169 178 182 260 280 338 356 364 445 455 520 623 676 712 728 845 890 910 1157 1183 1246 1352 1690 1780 1820 2314 2366 2492 3115 3380 3560 3640 4628 4732 4984 5785 5915 6230 6760 8099 9256 9464 11570 11830 12460 15041 16198 23140 23660 24920 30082 32396 40495 46280 47320 60164 64792 75205 80990 105287 120328 150410 161980 210574 300820 323960 421148 526435 601640 842296 1052870 2105740 4211480