Search a number
-
+
10690920 = 2333519521
BaseRepresentation
bin101000110010…
…000101101000
3202010011012000
4220302011220
510214102140
61021051000
7156604602
oct50620550
922104160
1010690920
116042279
1236b6a60
1322a41b6
1415c4172
15e12a30
hexa32168

10690920 has 128 divisors (see below), whose sum is σ = 37584000. Its totient is φ = 2695680.

The previous prime is 10690913. The next prime is 10690931. The reversal of 10690920 is 2909601.

It is a happy number.

It is a super-2 number, since 2×106909202 = 228591540892800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 20260 + ... + 20780.

It is an arithmetic number, because the mean of its divisors is an integer number (293625).

Almost surely, 210690920 is an apocalyptic number.

10690920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10690920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18792000).

10690920 is an abundant number, since it is smaller than the sum of its proper divisors (26893080).

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

10690920 is a wasteful number, since it uses less digits than its factorization.

10690920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10690920 is about 3269.6972336900. The cubic root of 10690920 is about 220.2951960153.

It can be divided in two parts, 106909 and 20, that added together give a square (106929 = 3272).

The spelling of 10690920 in words is "ten million, six hundred ninety thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 521 540 570 684 760 855 1026 1042 1080 1140 1368 1563 1710 2052 2084 2280 2565 2605 3126 3420 4104 4168 4689 5130 5210 6252 6840 7815 9378 9899 10260 10420 12504 14067 15630 18756 19798 20520 20840 23445 28134 29697 31260 37512 39596 46890 49495 56268 59394 62520 70335 79192 89091 93780 98990 112536 118788 140670 148485 178182 187560 197980 237576 267273 281340 296970 356364 395960 445455 534546 562680 593940 712728 890910 1069092 1187880 1336365 1781820 2138184 2672730 3563640 5345460 10690920