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10144440 = 2334531101
BaseRepresentation
bin100110101100…
…101010111000
3201002101120000
4212230222320
510044110230
61001233000
7152140425
oct46545270
921071500
1010144440
1157a9739
123492760
132142537
1414c0d4c
15d55b60
hex9acab8

10144440 has 160 divisors (see below), whose sum is σ = 35544960. Its totient is φ = 2592000.

The previous prime is 10144417. The next prime is 10144457. The reversal of 10144440 is 4444101.

10144440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100390 + ... + 100490.

It is an arithmetic number, because the mean of its divisors is an integer number (222156).

Almost surely, 210144440 is an apocalyptic number.

10144440 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 10144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17772480).

10144440 is an abundant number, since it is smaller than the sum of its proper divisors (25400520).

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

10144440 is a wasteful number, since it uses less digits than its factorization.

10144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 10144440 is about 3185.0337517835. The cubic root of 10144440 is about 216.4758029874.

Adding to 10144440 its reverse (4444101), we get a palindrome (14588541).

The spelling of 10144440 in words is "ten million, one hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 81 90 93 101 108 120 124 135 155 162 180 186 202 216 248 270 279 303 310 324 360 372 404 405 465 505 540 558 606 620 648 744 808 810 837 909 930 1010 1080 1116 1212 1240 1395 1515 1620 1674 1818 1860 2020 2232 2424 2511 2727 2790 3030 3131 3240 3348 3636 3720 4040 4185 4545 5022 5454 5580 6060 6262 6696 7272 8181 8370 9090 9393 10044 10908 11160 12120 12524 12555 13635 15655 16362 16740 18180 18786 20088 21816 25048 25110 27270 28179 31310 32724 33480 36360 37572 40905 46965 50220 54540 56358 62620 65448 75144 81810 84537 93930 100440 109080 112716 125240 140895 163620 169074 187860 225432 253611 281790 327240 338148 375720 422685 507222 563580 676296 845370 1014444 1127160 1268055 1690740 2028888 2536110 3381480 5072220 10144440