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690091116 = 22311131492699
BaseRepresentation
bin101001001000011…
…111010001101100
31210002112021001020
4221020133101230
52403130403431
6152251014140
723046451311
oct5110372154
91702467036
10690091116
113245a1740
1217313a350
13acc80150
1467918d08
15408b6696
hex2921f46c

690091116 has 96 divisors (see below), whose sum is σ = 1905120000. Its totient is φ = 191665920.

The previous prime is 690091097. The next prime is 690091141. The reversal of 690091116 is 611190096.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254335 + ... + 257033.

It is an arithmetic number, because the mean of its divisors is an integer number (19845000).

Almost surely, 2690091116 is an apocalyptic number.

690091116 is a gapful number since it is divisible by the number (66) 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 690091116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952560000).

690091116 is an abundant number, since it is smaller than the sum of its proper divisors (1215028884).

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

690091116 is a wasteful number, since it uses less digits than its factorization.

690091116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 690091116 is about 26269.5853792937. The cubic root of 690091116 is about 883.6944867424.

It can be divided in two parts, 69009 and 1116, that added together give a triangular number (70125 = T374).

The spelling of 690091116 in words is "six hundred ninety million, ninety-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 149 156 286 298 429 447 572 596 858 894 1639 1716 1788 1937 2699 3278 3874 4917 5398 5811 6556 7748 8097 9834 10796 11622 16194 19668 21307 23244 29689 32388 35087 42614 59378 63921 70174 85228 89067 105261 118756 127842 140348 178134 210522 255684 356268 385957 402151 421044 771914 804302 1157871 1206453 1543828 1608604 2315742 2412906 4423661 4631484 4825812 5227963 8847322 10455926 13270983 15683889 17694644 20911852 26541966 31367778 53083932 57507593 62735556 115015186 172522779 230030372 345045558 690091116