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10542384 = 2432179409
BaseRepresentation
bin101000001101…
…110100110000
3201211121102200
4220031310300
510144324014
61013543200
7155415546
oct50156460
921747380
1010542384
115a50716
123644b00
1322516c8
141585d96
15dd3a09
hexa0dd30

10542384 has 60 divisors (see below), whose sum is σ = 29741400. Its totient is φ = 3485952.

The previous prime is 10542361. The next prime is 10542391. The reversal of 10542384 is 48324501.

It is a super-2 number, since 2×105423842 = 222283720806912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25572 + ... + 25980.

It is an arithmetic number, because the mean of its divisors is an integer number (495690).

Almost surely, 210542384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10542384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14870700).

10542384 is an abundant number, since it is smaller than the sum of its proper divisors (19199016).

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

10542384 is a wasteful number, since it uses less digits than its factorization.

10542384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 10542384 is about 3246.9037558881. The cubic root of 10542384 is about 219.2701988033.

Adding to 10542384 its reverse (48324501), we get a palindrome (58866885).

The spelling of 10542384 in words is "ten million, five hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 179 358 409 537 716 818 1074 1227 1432 1611 1636 2148 2454 2864 3222 3272 3681 4296 4908 6444 6544 7362 8592 9816 12888 14724 19632 25776 29448 58896 73211 146422 219633 292844 439266 585688 658899 878532 1171376 1317798 1757064 2635596 3514128 5271192 10542384