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10193274 = 2327313127
BaseRepresentation
bin100110111000…
…100101111010
3201011212112200
4212320211322
510102141044
61002251030
7152433000
oct46704572
921155480
1010193274
1158323a3
1234b6a76
13215b830
1414d4a70
15d65369
hex9b897a

10193274 has 96 divisors (see below), whose sum is σ = 27955200. Its totient is φ = 2667168.

The previous prime is 10193273. The next prime is 10193299. The reversal of 10193274 is 47239101.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10193273) 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, 80199 + ... + 80325.

It is an arithmetic number, because the mean of its divisors is an integer number (291200).

Almost surely, 210193274 is an apocalyptic number.

10193274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10193274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977600).

10193274 is an abundant number, since it is smaller than the sum of its proper divisors (17761926).

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

10193274 is a wasteful number, since it uses less digits than its factorization.

10193274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10193274 is about 3192.6907147420. The cubic root of 10193274 is about 216.8226091035.

The spelling of 10193274 in words is "ten million, one hundred ninety-three thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 127 147 182 234 254 273 294 343 381 441 546 637 686 762 819 882 889 1029 1143 1274 1638 1651 1778 1911 2058 2286 2667 3087 3302 3822 4459 4953 5334 5733 6174 6223 8001 8918 9906 11466 11557 12446 13377 14859 16002 18669 23114 26754 29718 34671 37338 40131 43561 56007 69342 80262 80899 87122 104013 112014 130683 161798 208026 242697 261366 392049 485394 566293 728091 784098 1132586 1456182 1698879 3397758 5096637 10193274