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1044514120 = 235134914091
BaseRepresentation
bin111110010000100…
…000010101001000
32200210102211000011
4332100200111020
54114343422440
6251351321304
734612136446
oct7620402510
92623384004
101044514120
11496667a11
12251980234
131385245c0
149ca17b96
1561a759ea
hex3e420548

1044514120 has 64 divisors (see below), whose sum is σ = 2536712640. Its totient is φ = 384787200.

The previous prime is 1044514117. The next prime is 1044514127. The reversal of 1044514120 is 214154401.

It is a junction number, because it is equal to n+sod(n) for n = 1044514091 and 1044514100.

It is not an unprimeable number, because it can be changed into a prime (1044514127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 253275 + ... + 257365.

It is an arithmetic number, because the mean of its divisors is an integer number (39636135).

Almost surely, 21044514120 is an apocalyptic number.

1044514120 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 1044514120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268356320).

1044514120 is an abundant number, since it is smaller than the sum of its proper divisors (1492198520).

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

1044514120 is a wasteful number, since it uses less digits than its factorization.

1044514120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1044514120 is about 32318.9436708566. The cubic root of 1044514120 is about 1014.6231608435.

Adding to 1044514120 its reverse (214154401), we get a palindrome (1258668521).

The spelling of 1044514120 in words is "one billion, forty-four million, five hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 491 520 982 1964 2455 3928 4091 4910 6383 8182 9820 12766 16364 19640 20455 25532 31915 32728 40910 51064 53183 63830 81820 106366 127660 163640 212732 255320 265915 425464 531830 1063660 2008681 2127320 4017362 8034724 10043405 16069448 20086810 26112853 40173620 52225706 80347240 104451412 130564265 208902824 261128530 522257060 1044514120