Search a number
-
+
13401990 = 2335721013
BaseRepresentation
bin110011000111…
…111110000110
3221012220002000
4303013332012
511412330430
61155130130
7221625600
oct63077606
927186060
1013401990
117624128
1245a3946
132a13194
141acc170
15129ae60
hexcc7f86

13401990 has 96 divisors (see below), whose sum is σ = 41614560. Its totient is φ = 3060288.

The previous prime is 13401989. The next prime is 13402007. The reversal of 13401990 is 9910431.

It is a super-2 number, since 2×134019902 = 359226671920200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12724 + ... + 13736.

It is an arithmetic number, because the mean of its divisors is an integer number (433485).

Almost surely, 213401990 is an apocalyptic number.

13401990 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 13401990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20807280).

13401990 is an abundant number, since it is smaller than the sum of its proper divisors (28212570).

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

13401990 is a wasteful number, since it uses less digits than its factorization.

13401990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 13401990 is about 3660.8728467402. The cubic root of 13401990 is about 237.5325310933.

The spelling of 13401990 in words is "thirteen million, four hundred one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 882 945 1013 1323 1470 1890 2026 2205 2646 3039 4410 5065 6078 6615 7091 9117 10130 13230 14182 15195 18234 21273 27351 30390 35455 42546 45585 49637 54702 63819 70910 91170 99274 106365 127638 136755 148911 191457 212730 248185 273510 297822 319095 382914 446733 496370 638190 744555 893466 957285 1340199 1489110 1914570 2233665 2680398 4467330 6700995 13401990