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10131750 = 233531979
BaseRepresentation
bin100110101001…
…100100100110
3201001202011000
4212221210212
510043204000
61001054130
7152055426
oct46514446
921052130
1010131750
1157a0152
123487346
132139825
1414ba486
15d52000
hex9a9926

10131750 has 128 divisors (see below), whose sum is σ = 29952000. Its totient is φ = 2527200.

The previous prime is 10131739. The next prime is 10131763. The reversal of 10131750 is 5713101.

It is a happy number.

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

It is a nialpdrome in base 15.

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 63 ways as a sum of consecutive naturals, for example, 128211 + ... + 128289.

It is an arithmetic number, because the mean of its divisors is an integer number (234000).

Almost surely, 210131750 is an apocalyptic number.

10131750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14976000).

10131750 is an abundant number, since it is smaller than the sum of its proper divisors (19820250).

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

10131750 is a wasteful number, since it uses less digits than its factorization.

10131750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 10131750 is about 3183.0409987934. The cubic root of 10131750 is about 216.3854998524.

Adding to 10131750 its reverse (5713101), we get a palindrome (15844851).

The spelling of 10131750 in words is "ten million, one hundred thirty-one thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 79 90 95 114 125 135 150 158 171 190 225 237 250 270 285 342 375 395 450 474 475 513 570 675 711 750 790 855 950 1026 1125 1185 1350 1422 1425 1501 1710 1975 2133 2250 2370 2375 2565 2850 3002 3375 3555 3950 4266 4275 4503 4750 5130 5925 6750 7110 7125 7505 8550 9006 9875 10665 11850 12825 13509 14250 15010 17775 19750 21330 21375 22515 25650 27018 29625 35550 37525 40527 42750 45030 53325 59250 64125 67545 75050 81054 88875 106650 112575 128250 135090 177750 187625 202635 225150 266625 337725 375250 405270 533250 562875 675450 1013175 1125750 1688625 2026350 3377250 5065875 10131750