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10101240 = 2333547199
BaseRepresentation
bin100110100010…
…000111111000
3201000012022000
4212202013320
510041214430
61000301000
7151600452
oct46420770
921005260
1010101240
11577a236
123471760
132128986
1414ad2d2
15d47e60
hex9a21f8

10101240 has 128 divisors (see below), whose sum is σ = 34560000. Its totient is φ = 2623104.

The previous prime is 10101239. The next prime is 10101277. The reversal of 10101240 is 4210101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 50661 + ... + 50859.

It is an arithmetic number, because the mean of its divisors is an integer number (270000).

Almost surely, 210101240 is an apocalyptic number.

10101240 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 10101240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280000).

10101240 is an abundant number, since it is smaller than the sum of its proper divisors (24458760).

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

10101240 is a wasteful number, since it uses less digits than its factorization.

10101240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10101240 is about 3178.2447986271. The cubic root of 10101240 is about 216.1680790530.

Adding to 10101240 its reverse (4210101), we get a palindrome (14311341).

The spelling of 10101240 in words is "ten million, one hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 90 94 108 120 135 141 180 188 199 216 235 270 282 360 376 398 423 470 540 564 597 705 796 846 940 995 1080 1128 1194 1269 1410 1592 1692 1791 1880 1990 2115 2388 2538 2820 2985 3384 3582 3980 4230 4776 5076 5373 5640 5970 6345 7164 7960 8460 8955 9353 10152 10746 11940 12690 14328 16920 17910 18706 21492 23880 25380 26865 28059 35820 37412 42984 46765 50760 53730 56118 71640 74824 84177 93530 107460 112236 140295 168354 187060 214920 224472 252531 280590 336708 374120 420885 505062 561180 673416 841770 1010124 1122360 1262655 1683540 2020248 2525310 3367080 5050620 10101240