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16906890 = 23571113563
BaseRepresentation
bin100000001111…
…1101010001010
31011210221220010
41000133222022
513312010030
61402212350
7263464140
oct100375212
934727803
1016906890
1195a8440
1257b40b6
13366c5a0
142361590
15173e6b0
hex101fa8a

16906890 has 128 divisors (see below), whose sum is σ = 54577152. Its totient is φ = 3237120.

The previous prime is 16906867. The next prime is 16906907. The reversal of 16906890 is 9860961.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29749 + ... + 30311.

It is an arithmetic number, because the mean of its divisors is an integer number (426384).

Almost surely, 216906890 is an apocalyptic number.

16906890 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 16906890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27288576).

16906890 is an abundant number, since it is smaller than the sum of its proper divisors (37670262).

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

16906890 is a wasteful number, since it uses less digits than its factorization.

16906890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604.

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 16906890 is about 4111.7988764043. The cubic root of 16906890 is about 256.6578640560.

The spelling of 16906890 in words is "sixteen million, nine hundred six thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 563 715 770 858 910 1001 1126 1155 1365 1430 1689 2002 2145 2310 2730 2815 3003 3378 3941 4290 5005 5630 6006 6193 7319 7882 8445 10010 11823 12386 14638 15015 16890 18579 19705 21957 23646 30030 30965 36595 37158 39410 43351 43914 51233 59115 61930 73190 80509 86702 92895 102466 109785 118230 130053 153699 161018 185790 216755 219570 241527 256165 260106 307398 402545 433510 483054 512330 563563 650265 768495 805090 1127126 1207635 1300530 1536990 1690689 2415270 2817815 3381378 5635630 8453445 16906890