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10542132 = 2232292837
BaseRepresentation
bin101000001101…
…110000110100
3201211121002100
4220031300310
510144322012
61013542100
7155415036
oct50156064
921747070
1010542132
115a50507
123644930
132251563
141585c56
15dd38dc
hexa0dc34

10542132 has 18 divisors (see below), whose sum is σ = 26648258. Its totient is φ = 3514032.

The previous prime is 10542113. The next prime is 10542157. The reversal of 10542132 is 23124501.

It can be written as a sum of positive squares in only one way, i.e., 10074276 + 467856 = 3174^2 + 684^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105421322 = 222273094210848, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 146383 + ... + 146454.

Almost surely, 210542132 is an apocalyptic number.

10542132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10542132 is an abundant number, since it is smaller than the sum of its proper divisors (16106126).

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

10542132 is a wasteful number, since it uses less digits than its factorization.

10542132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292847 (or 292842 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10542132 is about 3246.8649494551. The cubic root of 10542132 is about 219.2684516801.

Adding to 10542132 its reverse (23124501), we get a palindrome (33666633).

The spelling of 10542132 in words is "ten million, five hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 292837 585674 878511 1171348 1757022 2635533 3514044 5271066 10542132