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10094160 = 2435137307
BaseRepresentation
bin100110100000…
…011001010000
3200222211120210
4212200121100
510041003120
61000204120
7151541016
oct46403120
920884523
1010094160
11577498a
123469640
13212569b
1414aa8b6
15d45ce0
hex9a0650

10094160 has 80 divisors (see below), whose sum is σ = 31622976. Its totient is φ = 2663424.

The previous prime is 10094137. The next prime is 10094167. The reversal of 10094160 is 6149001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×100941602 = 203784132211200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10094167) 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, 32727 + ... + 33033.

Almost surely, 210094160 is an apocalyptic number.

10094160 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 10094160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15811488).

10094160 is an abundant number, since it is smaller than the sum of its proper divisors (21528816).

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

10094160 is a wasteful number, since it uses less digits than its factorization.

10094160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10094160 is about 3177.1307810665. The cubic root of 10094160 is about 216.1175628883.

The spelling of 10094160 in words is "ten million, ninety-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 307 411 548 614 685 822 921 1096 1228 1370 1535 1644 1842 2055 2192 2456 2740 3070 3288 3684 4110 4605 4912 5480 6140 6576 7368 8220 9210 10960 12280 14736 16440 18420 24560 32880 36840 42059 73680 84118 126177 168236 210295 252354 336472 420590 504708 630885 672944 841180 1009416 1261770 1682360 2018832 2523540 3364720 5047080 10094160