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13378050 = 23252731137
BaseRepresentation
bin110011000010…
…001000000010
3221011200020100
4303002020002
511411044200
61154423230
7221466030
oct63021002
927150210
1013378050
117608144
124591b16
132a0530a
141ac3550
151293d00
hexcc2202

13378050 has 144 divisors (see below), whose sum is σ = 42711552. Its totient is φ = 2937600.

The previous prime is 13378009. The next prime is 13378063. The reversal of 13378050 is 5087331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97582 + ... + 97718.

It is an arithmetic number, because the mean of its divisors is an integer number (296608).

Almost surely, 213378050 is an apocalyptic number.

13378050 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 13378050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21355776).

13378050 is an abundant number, since it is smaller than the sum of its proper divisors (29333502).

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

13378050 is a wasteful number, since it uses less digits than its factorization.

13378050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13378050 is about 3657.6016732280. The cubic root of 13378050 is about 237.3910118585.

The spelling of 13378050 in words is "thirteen million, three hundred seventy-eight thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 31 35 42 45 50 62 63 70 75 90 93 105 126 137 150 155 175 186 210 217 225 274 279 310 315 350 411 434 450 465 525 558 630 651 685 775 822 930 959 1050 1085 1233 1302 1370 1395 1550 1575 1918 1953 2055 2170 2325 2466 2790 2877 3150 3255 3425 3906 4110 4247 4650 4795 5425 5754 6165 6510 6850 6975 8494 8631 9590 9765 10275 10850 12330 12741 13950 14385 16275 17262 19530 20550 21235 23975 25482 28770 29729 30825 32550 38223 42470 43155 47950 48825 59458 61650 63705 71925 76446 86310 89187 97650 106175 127410 143850 148645 178374 191115 212350 215775 267561 297290 318525 382230 431550 445935 535122 637050 743225 891870 955575 1337805 1486450 1911150 2229675 2675610 4459350 6689025 13378050