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13411920 = 2435294147
BaseRepresentation
bin110011001010…
…011001010000
3221020101200210
4303022121100
511413140140
61155244120
7221666544
oct63123120
927211623
1013411920
117630635
1245a9640
132a17862
141ad1a24
15129dd80
hexcca650

13411920 has 160 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 3297280.

The previous prime is 13411907. The next prime is 13411927. The reversal of 13411920 is 2911431.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13411927) 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, 285337 + ... + 285383.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 213411920 is an apocalyptic number.

13411920 is a gapful number since it is divisible by the number (10) 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 13411920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

13411920 is an abundant number, since it is smaller than the sum of its proper divisors (31585200).

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

13411920 is a wasteful number, since it uses less digits than its factorization.

13411920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 13411920 is about 3662.2288295518. The cubic root of 13411920 is about 237.5911819784.

The spelling of 13411920 in words is "thirteen million, four hundred eleven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 41 47 48 58 60 80 82 87 94 116 120 123 141 145 164 174 188 205 232 235 240 246 282 290 328 348 376 410 435 464 470 492 564 580 615 656 696 705 752 820 870 940 984 1128 1160 1189 1230 1363 1392 1410 1640 1740 1880 1927 1968 2256 2320 2378 2460 2726 2820 3280 3480 3567 3760 3854 4089 4756 4920 5452 5640 5781 5945 6815 6960 7134 7708 8178 9512 9635 9840 10904 11280 11562 11890 13630 14268 15416 16356 17835 19024 19270 20445 21808 23124 23780 27260 28536 28905 30832 32712 35670 38540 40890 46248 47560 54520 55883 57072 57810 65424 71340 77080 81780 92496 95120 109040 111766 115620 142680 154160 163560 167649 223532 231240 279415 285360 327120 335298 447064 462480 558830 670596 838245 894128 1117660 1341192 1676490 2235320 2682384 3352980 4470640 6705960 13411920