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13545090 = 23351317227
BaseRepresentation
bin110011101010…
…111010000010
3221111011101000
4303222322002
511431420330
61202152430
7223063026
oct63527202
927434330
1013545090
117711699
124652716
132a63360
141b28386
1512c8560
hexceae82

13545090 has 128 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 3124224.

The previous prime is 13545089. The next prime is 13545113. The reversal of 13545090 is 9054531.

13545090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59557 + ... + 59783.

It is an arithmetic number, because the mean of its divisors is an integer number (323190).

Almost surely, 213545090 is an apocalyptic number.

13545090 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 13545090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

13545090 is an abundant number, since it is smaller than the sum of its proper divisors (27823230).

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

13545090 is a wasteful number, since it uses less digits than its factorization.

13545090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 13545090 is about 3680.3654709825. The cubic root of 13545090 is about 238.3749591772.

The spelling of 13545090 in words is "thirteen million, five hundred forty-five thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 27 30 34 39 45 51 54 65 78 85 90 102 117 130 135 153 170 195 221 227 234 255 270 306 351 390 442 454 459 510 585 663 681 702 765 918 1105 1135 1170 1326 1362 1530 1755 1989 2043 2210 2270 2295 2951 3315 3405 3510 3859 3978 4086 4590 5902 5967 6129 6630 6810 7718 8853 9945 10215 11577 11934 12258 14755 17706 19295 19890 20430 23154 26559 29510 29835 30645 34731 38590 44265 50167 53118 57885 59670 61290 69462 79677 88530 100334 104193 115770 132795 150501 159354 173655 208386 250835 265590 301002 347310 398385 451503 501670 520965 752505 796770 903006 1041930 1354509 1505010 2257515 2709018 4515030 6772545 13545090