[go: up one dir, main page]

Search a number
-
+
13701870 = 23257213239
BaseRepresentation
bin110100010001…
…001011101110
3221210010102200
4310101023232
512001424440
61205402330
7224315100
oct64211356
927703380
1013701870
117809466
1247093a6
132ab9820
141b69570
151309c30
hexd112ee

13701870 has 144 divisors (see below), whose sum is σ = 44815680. Its totient is φ = 2878848.

The previous prime is 13701829. The next prime is 13701893. The reversal of 13701870 is 7810731.

13701870 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57211 + ... + 57449.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 213701870 is an apocalyptic number.

13701870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13701870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407840).

13701870 is an abundant number, since it is smaller than the sum of its proper divisors (31113810).

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

13701870 is a wasteful number, since it uses less digits than its factorization.

13701870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 13701870 is about 3701.6037065034. The cubic root of 13701870 is about 239.2911375363.

It can be divided in two parts, 1370 and 1870, that added together give a triangular number (3240 = T80).

The spelling of 13701870 in words is "thirteen million, seven hundred one thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 239 245 273 294 315 390 441 455 478 490 546 585 630 637 717 735 819 882 910 1170 1195 1274 1365 1434 1470 1638 1673 1911 2151 2205 2390 2730 3107 3185 3346 3585 3822 4095 4302 4410 5019 5733 6214 6370 7170 8190 8365 9321 9555 10038 10755 11466 11711 15057 15535 16730 18642 19110 21510 21749 23422 25095 27963 28665 30114 31070 35133 43498 46605 50190 55926 57330 58555 65247 70266 75285 93210 105399 108745 117110 130494 139815 150570 152243 175665 195741 210798 217490 279630 304486 326235 351330 391482 456729 526995 652470 761215 913458 978705 1053990 1370187 1522430 1957410 2283645 2740374 4567290 6850935 13701870