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5119632 = 243371693
BaseRepresentation
bin10011100001111010010000
3100122002211000
4103201322100
52302312012
6301422000
761342020
oct23417220
910562730
105119632
112987501
12186a900
1310a338b
14973a80
156b1ddc
hex4e1e90

5119632 has 80 divisors (see below), whose sum is σ = 16804480. Its totient is φ = 1461888.

The previous prime is 5119603. The next prime is 5119633. The reversal of 5119632 is 2369115.

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 = 5119596 and 5119605.

It is not an unprimeable number, because it can be changed into a prime (5119633) 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, 2178 + ... + 3870.

It is an arithmetic number, because the mean of its divisors is an integer number (210056).

Almost surely, 25119632 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 5119632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402240).

5119632 is an abundant number, since it is smaller than the sum of its proper divisors (11684848).

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

5119632 is a wasteful number, since it uses less digits than its factorization.

5119632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1705 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 5119632 is about 2262.6603810559. The cubic root of 5119632 is about 172.3506457705.

It can be divided in two parts, 51 and 19632, that added together give a 9-th power (19683 = 39).

The spelling of 5119632 in words is "five million, one hundred nineteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 1693 3024 3386 5079 6772 10158 11851 13544 15237 20316 23702 27088 30474 35553 40632 45711 47404 60948 71106 81264 91422 94808 106659 121896 142212 182844 189616 213318 243792 284424 319977 365688 426636 568848 639954 731376 853272 1279908 1706544 2559816 5119632