Search a number
-
+
690603660 = 2232510137987
BaseRepresentation
bin101001001010011…
…100011010001100
31210010111022010100
4221022130122030
52403243304120
6152310011100
723054014515
oct5112343214
91703438110
10690603660
1132491182a
12173346a90
13b00cc526
1467a0da0c
1540968490
hex2929c68c

690603660 has 72 divisors (see below), whose sum is σ = 2115627696. Its totient is φ = 182332800.

The previous prime is 690603533. The next prime is 690603677. The reversal of 690603660 is 66306096.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 814 + ... + 37173.

It is an arithmetic number, because the mean of its divisors is an integer number (29383718).

Almost surely, 2690603660 is an apocalyptic number.

690603660 is a gapful number since it is divisible by the number (60) 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 690603660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057813848).

690603660 is an abundant number, since it is smaller than the sum of its proper divisors (1425024036).

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

690603660 is a wasteful number, since it uses less digits than its factorization.

690603660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38103 (or 38098 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 690603660 is about 26279.3390327839. The cubic root of 690603660 is about 883.9132115884.

It can be divided in two parts, 6906036 and 60, that added together give a palindrome (6906096).

The spelling of 690603660 in words is "six hundred ninety million, six hundred three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 37987 75974 113961 151948 189935 227922 341883 379870 455844 569805 683766 759740 1139610 1367532 1709415 2279220 3418830 3836687 6837660 7673374 11510061 15346748 19183435 23020122 34530183 38366870 46040244 57550305 69060366 76733740 115100610 138120732 172650915 230201220 345301830 690603660