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44001120 = 2535292109
BaseRepresentation
bin1010011111011…
…0011101100000
310001210111012010
42213312131200
542231013440
64211032520
71043001102
oct247663540
9101714163
1044001120
1122923769
121289b740
139167a87
145bb5572
153ce2580
hex29f6760

44001120 has 144 divisors (see below), whose sum is σ = 144864720. Its totient is φ = 11225088.

The previous prime is 44001119. The next prime is 44001127. The reversal of 44001120 is 2110044.

It is a super-2 number, since 2×440011202 = 3872197122508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 44001096 and 44001105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44001127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403626 + ... + 403734.

It is an arithmetic number, because the mean of its divisors is an integer number (1006005).

Almost surely, 244001120 is an apocalyptic number.

44001120 is a gapful number since it is divisible by the number (40) 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 44001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72432360).

44001120 is an abundant number, since it is smaller than the sum of its proper divisors (100863600).

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

44001120 is a wasteful number, since it uses less digits than its factorization.

44001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 44001120 is about 6633.3340033500. The cubic root of 44001120 is about 353.0378289543.

Adding to 44001120 its reverse (2110044), we get a palindrome (46111164).

The spelling of 44001120 in words is "forty-four million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 109 116 120 145 160 174 218 232 240 290 327 348 435 436 464 480 545 580 654 696 841 870 872 928 1090 1160 1308 1392 1635 1682 1740 1744 2180 2320 2523 2616 2784 3161 3270 3364 3480 3488 4205 4360 4640 5046 5232 6322 6540 6728 6960 8410 8720 9483 10092 10464 12615 12644 13080 13456 13920 15805 16820 17440 18966 20184 25230 25288 26160 26912 31610 33640 37932 40368 47415 50460 50576 52320 63220 67280 75864 80736 91669 94830 100920 101152 126440 134560 151728 183338 189660 201840 252880 275007 303456 366676 379320 403680 458345 505760 550014 733352 758640 916690 1100028 1375035 1466704 1517280 1833380 2200056 2750070 2933408 3666760 4400112 5500140 7333520 8800224 11000280 14667040 22000560 44001120