Search a number
-
+
4690000 = 2454767
BaseRepresentation
bin10001111001000001010000
322211021110201
4101321001100
52200040000
6244304544
754602320
oct21710120
98737421
104690000
112713737
1216a2154
13c82963
148a1280
1562996a
hex479050

4690000 has 100 divisors (see below), whose sum is σ = 13170784. Its totient is φ = 1584000.

The previous prime is 4689991. The next prime is 4690001. The reversal of 4690000 is 964.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×46900002 = 43992200000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4690000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4690001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69967 + ... + 70033.

Almost surely, 24690000 is an apocalyptic number.

4690000 is a gapful number since it is divisible by the number (40) 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 4690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6585392).

4690000 is an abundant number, since it is smaller than the sum of its proper divisors (8480784).

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

4690000 is an equidigital number, since it uses as much as digits as its factorization.

4690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 4690000 is about 2165.6407827708. The cubic root of 4690000 is about 167.3879848083.

Adding to 4690000 its reverse (964), we get a palindrome (4690964).

The spelling of 4690000 in words is "four million, six hundred ninety thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 67 70 80 100 112 125 134 140 175 200 250 268 280 335 350 400 469 500 536 560 625 670 700 875 938 1000 1072 1250 1340 1400 1675 1750 1876 2000 2345 2500 2680 2800 3350 3500 3752 4375 4690 5000 5360 6700 7000 7504 8375 8750 9380 10000 11725 13400 14000 16750 17500 18760 23450 26800 33500 35000 37520 41875 46900 58625 67000 70000 83750 93800 117250 134000 167500 187600 234500 293125 335000 469000 586250 670000 938000 1172500 2345000 4690000