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20199480 = 23357139173
BaseRepresentation
bin100110100001…
…1100000111000
31102000020110220
41031003200320
520132340410
62000540040
7333456420
oct115034070
942006426
1020199480
1110447194
126921620
134253172
14297b480
151b90070
hex1343838

20199480 has 128 divisors (see below), whose sum is σ = 70156800. Its totient is φ = 4557312.

The previous prime is 20199437. The next prime is 20199481. The reversal of 20199480 is 8499102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20199481) 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, 116674 + ... + 116846.

It is an arithmetic number, because the mean of its divisors is an integer number (548100).

Almost surely, 220199480 is an apocalyptic number.

20199480 is a gapful number since it is divisible by the number (20) 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 20199480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35078400).

20199480 is an abundant number, since it is smaller than the sum of its proper divisors (49957320).

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

20199480 is a wasteful number, since it uses less digits than its factorization.

20199480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 20199480 is about 4494.3831612358. The cubic root of 20199480 is about 272.3412311953.

It can be divided in two parts, 201 and 99480, that added together give a triangular number (99681 = T446).

The spelling of 20199480 in words is "twenty million, one hundred ninety-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 139 140 168 173 210 278 280 346 417 420 519 556 692 695 834 840 865 973 1038 1112 1211 1384 1390 1668 1730 1946 2076 2085 2422 2595 2780 2919 3336 3460 3633 3892 4152 4170 4844 4865 5190 5560 5838 6055 6920 7266 7784 8340 9688 9730 10380 11676 12110 14532 14595 16680 18165 19460 20760 23352 24047 24220 29064 29190 36330 38920 48094 48440 58380 72141 72660 96188 116760 120235 144282 145320 168329 192376 240470 288564 336658 360705 480940 504987 577128 673316 721410 841645 961880 1009974 1346632 1442820 1683290 2019948 2524935 2885640 3366580 4039896 5049870 6733160 10099740 20199480