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10093932 = 22322571091
BaseRepresentation
bin100110100000…
…010101101100
3200222211021100
4212200111230
510041001212
61000203100
7151540242
oct46402554
920884240
1010093932
1157747a2
123469490
132125554
1414aa792
15d45bdc
hex9a056c

10093932 has 36 divisors (see below), whose sum is σ = 25637976. Its totient is φ = 3348480.

The previous prime is 10093901. The next prime is 10093939. The reversal of 10093932 is 23939001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10093896 and 10093905.

It is not an unprimeable number, because it can be changed into a prime (10093939) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8707 + ... + 9797.

It is an arithmetic number, because the mean of its divisors is an integer number (712166).

Almost surely, 210093932 is an apocalyptic number.

10093932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10093932 is an abundant number, since it is smaller than the sum of its proper divisors (15544044).

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

10093932 is a wasteful number, since it uses less digits than its factorization.

10093932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 10093932 is about 3177.0948994325. The cubic root of 10093932 is about 216.1159357040.

It can be divided in two parts, 10093 and 932, that added together give a square (11025 = 1052).

The spelling of 10093932 in words is "ten million, ninety-three thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 257 514 771 1028 1091 1542 2182 2313 3084 3273 4364 4626 6546 9252 9819 13092 19638 39276 280387 560774 841161 1121548 1682322 2523483 3364644 5046966 10093932