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13435470 = 23651997
BaseRepresentation
bin110011010000…
…001001001110
3221021121000000
4303100021032
511414413340
61155545130
7222125316
oct63201116
927247000
1013435470
1176472a4
1245bb1a6
132a254a9
141ada446
1512a5d30
hexcd024e

13435470 has 112 divisors (see below), whose sum is σ = 38561040. Its totient is φ = 3359232.

The previous prime is 13435469. The next prime is 13435481. The reversal of 13435470 is 7453431.

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 55 ways as a sum of consecutive naturals, for example, 138462 + ... + 138558.

It is an arithmetic number, because the mean of its divisors is an integer number (344295).

Almost surely, 213435470 is an apocalyptic number.

13435470 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 13435470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19280520).

13435470 is an abundant number, since it is smaller than the sum of its proper divisors (25125570).

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

13435470 is an equidigital number, since it uses as much as digits as its factorization.

13435470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 13435470 is about 3665.4426744938. The cubic root of 13435470 is about 237.7301628405.

The spelling of 13435470 in words is "thirteen million, four hundred thirty-five thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 97 114 135 162 171 190 194 243 270 285 291 342 405 485 486 513 570 582 729 810 855 873 970 1026 1215 1455 1458 1539 1710 1746 1843 2430 2565 2619 2910 3078 3645 3686 4365 4617 5130 5238 5529 7290 7695 7857 8730 9215 9234 11058 13095 13851 15390 15714 16587 18430 23085 23571 26190 27645 27702 33174 39285 46170 47142 49761 55290 69255 70713 78570 82935 99522 117855 138510 141426 149283 165870 235710 248805 298566 353565 447849 497610 707130 746415 895698 1343547 1492830 2239245 2687094 4478490 6717735 13435470