Search a number
-
+
13998480 = 2435174773
BaseRepresentation
bin110101011001…
…100110010000
3222100012022020
4311121212100
512040422410
61220011440
7226661616
oct65314620
928305266
1013998480
1179a12a1
124830b80
132b91832
141c056b6
151367a70
hexd59990

13998480 has 160 divisors (see below), whose sum is σ = 47568384. Its totient is φ = 3391488.

The previous prime is 13998461. The next prime is 13998493. The reversal of 13998480 is 8489931.

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, 191724 + ... + 191796.

Almost surely, 213998480 is an apocalyptic number.

13998480 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 13998480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23784192).

13998480 is an abundant number, since it is smaller than the sum of its proper divisors (33569904).

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

13998480 is a wasteful number, since it uses less digits than its factorization.

13998480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 13998480 is about 3741.4542627166. The cubic root of 13998480 is about 241.0055036822.

The spelling of 13998480 in words is "thirteen million, nine hundred ninety-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 47 48 51 60 68 73 80 85 94 102 120 136 141 146 170 188 204 219 235 240 255 272 282 292 340 365 376 408 438 470 510 564 584 680 705 730 752 799 816 876 940 1020 1095 1128 1168 1241 1360 1410 1460 1598 1752 1880 2040 2190 2256 2397 2482 2820 2920 3196 3431 3504 3723 3760 3995 4080 4380 4794 4964 5640 5840 6205 6392 6862 7446 7990 8760 9588 9928 10293 11280 11985 12410 12784 13724 14892 15980 17155 17520 18615 19176 19856 20586 23970 24820 27448 29784 31960 34310 37230 38352 41172 47940 49640 51465 54896 58327 59568 63920 68620 74460 82344 95880 99280 102930 116654 137240 148920 164688 174981 191760 205860 233308 274480 291635 297840 349962 411720 466616 583270 699924 823440 874905 933232 1166540 1399848 1749810 2333080 2799696 3499620 4666160 6999240 13998480