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13417950 = 2352713983
BaseRepresentation
bin110011001011…
…110111011110
3221020200222010
4303023313132
511413333300
61155332050
7222023250
oct63136736
927220863
1013417950
117635117
1245b1026
132a1a520
141ad3cd0
1512a0a50
hexccbdde

13417950 has 96 divisors (see below), whose sum is σ = 40997376. Its totient is φ = 2828160.

The previous prime is 13417927. The next prime is 13417967. The reversal of 13417950 is 5971431.

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

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, 13159 + ... + 14141.

It is an arithmetic number, because the mean of its divisors is an integer number (427056).

Almost surely, 213417950 is an apocalyptic number.

13417950 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 13417950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20498688).

13417950 is an abundant number, since it is smaller than the sum of its proper divisors (27579426).

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

13417950 is a wasteful number, since it uses less digits than its factorization.

13417950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 13417950 is about 3663.0520061828. The cubic root of 13417950 is about 237.6267836464.

The spelling of 13417950 in words is "thirteen million, four hundred seventeen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 91 105 130 150 175 182 195 210 273 325 350 390 455 525 546 650 910 975 983 1050 1365 1950 1966 2275 2730 2949 4550 4915 5898 6825 6881 9830 12779 13650 13762 14745 20643 24575 25558 29490 34405 38337 41286 49150 63895 68810 73725 76674 89453 103215 127790 147450 172025 178906 191685 206430 268359 319475 344050 383370 447265 516075 536718 638950 894530 958425 1032150 1341795 1916850 2236325 2683590 4472650 6708975 13417950