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10166140 = 2251931863
BaseRepresentation
bin100110110001…
…111101111100
3201010111022201
4212301331330
510100304030
61001521244
7152260615
oct46617574
921114281
1010166140
115813a76
1234a3224
13214c38a
1414c8c0c
15d5c2ca
hex9b1f7c

10166140 has 48 divisors (see below), whose sum is σ = 23224320. Its totient is φ = 3723840.

The previous prime is 10166137. The next prime is 10166141. The reversal of 10166140 is 4166101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10166141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11349 + ... + 12211.

It is an arithmetic number, because the mean of its divisors is an integer number (483840).

Almost surely, 210166140 is an apocalyptic number.

10166140 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 10166140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

10166140 is an abundant number, since it is smaller than the sum of its proper divisors (13058180).

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

10166140 is a wasteful number, since it uses less digits than its factorization.

10166140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10166140 is about 3188.4384892922. The cubic root of 10166140 is about 216.6300477233.

The spelling of 10166140 in words is "ten million, one hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 863 1178 1726 2356 2945 3452 4315 5890 8630 11780 16397 17260 26753 32794 53506 65588 81985 107012 133765 163970 267530 327940 508307 535060 1016614 2033228 2541535 5083070 10166140