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1074172000 = 25531124413
BaseRepresentation
bin100000000000110…
…1001000001100000
32202212020120222011
41000001221001200
54144442001000
6254331122304
735422211536
oct10001510140
92685216864
101074172000
11501384360
1225b8a3394
13141709945
14a2938156
15644832ba
hex40069060

1074172000 has 96 divisors (see below), whose sum is σ = 2879289504. Its totient is φ = 390592000.

The previous prime is 1074171961. The next prime is 1074172007. The reversal of 1074172000 is 2714701.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074172007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31794 + ... + 56206.

It is an arithmetic number, because the mean of its divisors is an integer number (29992599).

Almost surely, 21074172000 is an apocalyptic number.

1074172000 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 1074172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439644752).

1074172000 is an abundant number, since it is smaller than the sum of its proper divisors (1805117504).

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

1074172000 is a wasteful number, since it uses less digits than its factorization.

1074172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24449 (or 24431 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 1074172000 is about 32774.5633075408. The cubic root of 1074172000 is about 1024.1367310096.

Adding to 1074172000 its reverse (2714701), we get a palindrome (1076886701).

The spelling of 1074172000 in words is "one billion, seventy-four million, one hundred seventy-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 24413 44000 48826 97652 122065 195304 244130 268543 390608 488260 537086 610325 781216 976520 1074172 1220650 1342715 1953040 2148344 2441300 2685430 3051625 3906080 4296688 4882600 5370860 6103250 6713575 8593376 9765200 10741720 12206500 13427150 19530400 21483440 24413000 26854300 33567875 42966880 48826000 53708600 67135750 97652000 107417200 134271500 214834400 268543000 537086000 1074172000