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13750680 = 23351937163
BaseRepresentation
bin110100011101…
…000110011000
3221212121101110
4310131012120
512010010210
61210420320
7224610306
oct64350630
927777343
1013750680
1178420a9
1247316a0
132b05ac8
141b7d276
151319420
hexd1d198

13750680 has 128 divisors (see below), whose sum is σ = 44870400. Its totient is φ = 3359232.

The previous prime is 13750657. The next prime is 13750697. The reversal of 13750680 is 8605731.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84279 + ... + 84441.

It is an arithmetic number, because the mean of its divisors is an integer number (350550).

Almost surely, 213750680 is an apocalyptic number.

13750680 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 13750680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22435200).

13750680 is an abundant number, since it is smaller than the sum of its proper divisors (31119720).

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

13750680 is a wasteful number, since it uses less digits than its factorization.

13750680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 13750680 is about 3708.1909335955. The cubic root of 13750680 is about 239.5749420796.

The spelling of 13750680 in words is "thirteen million, seven hundred fifty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 37 38 40 57 60 74 76 95 111 114 120 148 152 163 185 190 222 228 285 296 326 370 380 444 456 489 555 570 652 703 740 760 815 888 978 1110 1140 1304 1406 1480 1630 1956 2109 2220 2280 2445 2812 3097 3260 3515 3912 4218 4440 4890 5624 6031 6194 6520 7030 8436 9291 9780 10545 12062 12388 14060 15485 16872 18093 18582 19560 21090 24124 24776 28120 30155 30970 36186 37164 42180 46455 48248 60310 61940 72372 74328 84360 90465 92910 114589 120620 123880 144744 180930 185820 229178 241240 343767 361860 371640 458356 572945 687534 723720 916712 1145890 1375068 1718835 2291780 2750136 3437670 4583560 6875340 13750680