Search a number
-
+
10549890 = 23251371127
BaseRepresentation
bin101000001111…
…101010000010
3201211222201200
4220033222002
510200044030
61014042030
7155446461
oct50175202
921758650
1010549890
115a5631a
123649316
132254c50
1415889d8
15dd5d60
hexa0fa82

10549890 has 96 divisors (see below), whose sum is σ = 30191616. Its totient is φ = 2540160.

The previous prime is 10549871. The next prime is 10549901. The reversal of 10549890 is 9894501.

It is a super-2 number, since 2×105498902 = 222600358024200, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

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, 83007 + ... + 83133.

It is an arithmetic number, because the mean of its divisors is an integer number (314496).

Almost surely, 210549890 is an apocalyptic number.

10549890 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 10549890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095808).

10549890 is an abundant number, since it is smaller than the sum of its proper divisors (19641726).

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

10549890 is a wasteful number, since it uses less digits than its factorization.

10549890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 10549890 is about 3248.0594206387. The cubic root of 10549890 is about 219.3222253551.

The spelling of 10549890 in words is "ten million, five hundred forty-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 71 78 90 117 127 130 142 195 213 234 254 355 381 390 426 585 635 639 710 762 923 1065 1143 1170 1270 1278 1651 1846 1905 2130 2286 2769 3195 3302 3810 4615 4953 5538 5715 6390 8255 8307 9017 9230 9906 11430 13845 14859 16510 16614 18034 24765 27051 27690 29718 41535 45085 49530 54102 74295 81153 83070 90170 117221 135255 148590 162306 234442 270510 351663 405765 586105 703326 811530 1054989 1172210 1758315 2109978 3516630 5274945 10549890