Search a number
-
+
10896690240 = 26345420397
BaseRepresentation
bin10100010010111111…
…00100110001000000
31001010102001012220000
422021133210301000
5134304023041430
65001133520000
7534013224132
oct121137446100
931112035800
1010896690240
114691996727
122141343000
1310486c5507
1475529b052
1543b983e60
hex2897e4c40

10896690240 has 140 divisors (see below), whose sum is σ = 38761536396. Its totient is φ = 2905777152.

The previous prime is 10896690229. The next prime is 10896690241. The reversal of 10896690240 is 4209669801.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1768034304 + 9128655936 = 42048^2 + 95544^2 .

It is a super-2 number, since 2×108966902402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10896690241) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 184279 + ... + 236118.

Almost surely, 210896690240 is an apocalyptic number.

10896690240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10896690240 is an abundant number, since it is smaller than the sum of its proper divisors (27864846156).

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

10896690240 is an equidigital number, since it uses as much as digits as its factorization.

10896690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420426 (or 420407 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 10896690240 in words is "ten billion, eight hundred ninety-six million, six hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 420397 840794 1261191 1681588 2101985 2522382 3363176 3783573 4203970 5044764 6305955 6726352 7567146 8407940 10089528 11350719 12611910 13452704 15134292 16815880 18917865 20179056 22701438 25223820 26905408 30268584 33631760 34052157 37835730 40358112 45402876 50447640 56753595 60537168 67263520 68104314 75671460 80716224 90805752 100895280 113507190 121074336 134527040 136208628 151342920 170260785 181611504 201790560 227014380 242148672 272417256 302685840 340521570 363223008 403581120 454028760 544834512 605371680 681043140 726446016 908057520 1089669024 1210743360 1362086280 1816115040 2179338048 2724172560 3632230080 5448345120 10896690240