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10229040 = 2432514207
BaseRepresentation
bin100111000001…
…010100110000
3201020200121100
4213001110300
510104312130
61003124400
7152642163
oct47012460
921220540
1010229040
115857258
123513700
132171bb3
141503ada
15d70c60
hex9c1530

10229040 has 60 divisors (see below), whose sum is σ = 34354944. Its totient is φ = 2727552.

The previous prime is 10229027. The next prime is 10229077. The reversal of 10229040 is 4092201.

10229040 = T129 + T130 + ... + T398.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6384 + ... + 7823.

Almost surely, 210229040 is an apocalyptic number.

10229040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10229040 is an abundant number, since it is smaller than the sum of its proper divisors (24125904).

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

10229040 is a wasteful number, since it uses less digits than its factorization.

10229040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14226 (or 14217 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10229040 is about 3198.2870415271. The cubic root of 10229040 is about 217.0759076679.

The spelling of 10229040 in words is "ten million, two hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 14207 28414 42621 56828 71035 85242 113656 127863 142070 170484 213105 227312 255726 284140 340968 426210 511452 568280 639315 681936 852420 1022904 1136560 1278630 1704840 2045808 2557260 3409680 5114520 10229040