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10141950 = 2352713743
BaseRepresentation
bin100110101100…
…000011111110
3201002021010210
4212230003332
510044020300
61001213250
7152130240
oct46540376
921067123
1010141950
1157a7885
123491226
132141370
1414c0090
15d55050
hex9ac0fe

10141950 has 96 divisors (see below), whose sum is σ = 30998016. Its totient is φ = 2136960.

The previous prime is 10141933. The next prime is 10141951. The reversal of 10141950 is 5914101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13279 + ... + 14021.

It is an arithmetic number, because the mean of its divisors is an integer number (322896).

Almost surely, 210141950 is an apocalyptic number.

10141950 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 10141950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499008).

10141950 is an abundant number, since it is smaller than the sum of its proper divisors (20856066).

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

10141950 is a wasteful number, since it uses less digits than its factorization.

10141950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 10141950 is about 3184.6428371169. The cubic root of 10141950 is about 216.4580898737.

The spelling of 10141950 in words is "ten million, one hundred forty-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 25 26 30 35 39 42 50 65 70 75 78 91 105 130 150 175 182 195 210 273 325 350 390 455 525 546 650 743 910 975 1050 1365 1486 1950 2229 2275 2730 3715 4458 4550 5201 6825 7430 9659 10402 11145 13650 15603 18575 19318 22290 26005 28977 31206 37150 48295 52010 55725 57954 67613 78015 96590 111450 130025 135226 144885 156030 202839 241475 260050 289770 338065 390075 405678 482950 676130 724425 780150 1014195 1448850 1690325 2028390 3380650 5070975 10141950