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10093941 = 32112132331
BaseRepresentation
bin100110100000…
…010101110101
3200222211021200
4212200111311
510041001231
61000203113
7151540254
oct46402565
920884250
1010093941
115774800
123469499
132125560
1414aa79b
15d45be6
hex9a0575

10093941 has 72 divisors (see below), whose sum is σ = 18590208. Its totient is φ = 5227200.

The previous prime is 10093939. The next prime is 10093957. The reversal of 10093941 is 14939001.

It is not a de Polignac number, because 10093941 - 21 = 10093939 is a prime.

It is a super-2 number, since 2×100939412 = 203775289822962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10093901) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 325596 + ... + 325626.

Almost surely, 210093941 is an apocalyptic number.

10093941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10093941 is a deficient number, since it is larger than the sum of its proper divisors (8496267).

10093941 is a wasteful number, since it uses less digits than its factorization.

10093941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10093941 is about 3177.0963158205. The cubic root of 10093941 is about 216.1159999354.

It can be divided in two parts, 1009 and 3941, that added together give a triangular number (4950 = T99).

The spelling of 10093941 in words is "ten million, ninety-three thousand, nine hundred forty-one".

Divisors: 1 3 9 11 13 23 31 33 39 69 93 99 117 121 143 207 253 279 299 341 363 403 429 713 759 897 1023 1089 1209 1287 1573 2139 2277 2691 2783 3069 3289 3627 3751 4433 4719 6417 7843 8349 9269 9867 11253 13299 14157 23529 25047 27807 29601 33759 36179 39897 48763 70587 83421 86273 101959 108537 146289 258819 305877 325611 438867 776457 917631 1121549 3364647 10093941