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5415930 = 2335131543
BaseRepresentation
bin10100101010001111111010
3101012011021000
4110222033322
52341302210
6312025430
764014612
oct24521772
911164230
105415930
11306a083
121992276
1311781c0
14a0da42
1571eac0
hex52a3fa

5415930 has 64 divisors (see below), whose sum is σ = 15563520. Its totient is φ = 1332288.

The previous prime is 5415929. The next prime is 5415937. The reversal of 5415930 is 395145.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5415894 and 5415903.

It is not an unprimeable number, because it can be changed into a prime (5415937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2739 + ... + 4281.

It is an arithmetic number, because the mean of its divisors is an integer number (243180).

Almost surely, 25415930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5415930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7781760).

5415930 is an abundant number, since it is smaller than the sum of its proper divisors (10147590).

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

5415930 is a wasteful number, since it uses less digits than its factorization.

5415930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5415930 is about 2327.2150738597. The cubic root of 5415930 is about 175.6134119750.

The spelling of 5415930 in words is "five million, four hundred fifteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1543 1755 3086 3510 4629 7715 9258 13887 15430 20059 23145 27774 40118 41661 46290 60177 69435 83322 100295 120354 138870 180531 200590 208305 300885 361062 416610 541593 601770 902655 1083186 1805310 2707965 5415930