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10027740 = 2235374517
BaseRepresentation
bin100110010000…
…001011011100
3200212110110210
4212100023130
510031341430
6554532420
7151143252
oct46201334
920773423
1010027740
115729a98
123437110
132101398
1414905d2
15d312b0
hex9902dc

10027740 has 48 divisors (see below), whose sum is σ = 28842912. Its totient is φ = 2601216.

The previous prime is 10027727. The next prime is 10027741. The reversal of 10027740 is 4772001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10027741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39 + ... + 4478.

It is an arithmetic number, because the mean of its divisors is an integer number (600894).

Almost surely, 210027740 is an apocalyptic number.

10027740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10027740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14421456).

10027740 is an abundant number, since it is smaller than the sum of its proper divisors (18815172).

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

10027740 is a wasteful number, since it uses less digits than its factorization.

10027740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4566 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 10027740 is about 3166.6607017488. The cubic root of 10027740 is about 215.6424984749.

Adding to 10027740 its reverse (4772001), we get a palindrome (14799741).

The spelling of 10027740 in words is "ten million, twenty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 4517 9034 13551 18068 22585 27102 45170 54204 67755 90340 135510 167129 271020 334258 501387 668516 835645 1002774 1671290 2005548 2506935 3342580 5013870 10027740