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10291140 = 2232557173
BaseRepresentation
bin100111010000…
…011111000100
3201100211210100
4213100133010
510113304030
61004324100
7153321216
oct47203704
921324710
1010291140
115899982
123543630
132194242
14151c5b6
15d84360
hex9d07c4

10291140 has 36 divisors (see below), whose sum is σ = 31217004. Its totient is φ = 2744256.

The previous prime is 10291139. The next prime is 10291157. The reversal of 10291140 is 4119201.

It can be written as a sum of positive squares in 2 ways, for example, as 7387524 + 2903616 = 2718^2 + 1704^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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 11 ways as a sum of consecutive naturals, for example, 28407 + ... + 28766.

It is an arithmetic number, because the mean of its divisors is an integer number (867139).

Almost surely, 210291140 is an apocalyptic number.

10291140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10291140 is an abundant number, since it is smaller than the sum of its proper divisors (20925864).

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

10291140 is a wasteful number, since it uses less digits than its factorization.

10291140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57188 (or 57183 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10291140 is about 3207.9806732585. The cubic root of 10291140 is about 217.5143074219.

The spelling of 10291140 in words is "ten million, two hundred ninety-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 57173 114346 171519 228692 285865 343038 514557 571730 686076 857595 1029114 1143460 1715190 2058228 2572785 3430380 5145570 10291140