Search a number
-
+
9690100 = 22527109127
BaseRepresentation
bin100100111101…
…101111110100
3200020022022121
4210331233310
54440040400
6543405324
7145236010
oct44755764
920208277
109690100
115519352
1232b3844
1320137b4
141403540
15cb621a
hex93dbf4

9690100 has 72 divisors (see below), whose sum is σ = 24442880. Its totient is φ = 3265920.

The previous prime is 9690097. The next prime is 9690103. The reversal of 9690100 is 10969.

It is an interprime number because it is at equal distance from previous prime (9690097) and next prime (9690103).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9690103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76237 + ... + 76363.

Almost surely, 29690100 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 9690100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12221440).

9690100 is an abundant number, since it is smaller than the sum of its proper divisors (14752780).

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

9690100 is a wasteful number, since it uses less digits than its factorization.

9690100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 9690100 is about 3112.8925455274. The cubic root of 9690100 is about 213.1945440584.

The spelling of 9690100 in words is "nine million, six hundred ninety thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 109 127 140 175 218 254 350 436 508 545 635 700 763 889 1090 1270 1526 1778 2180 2540 2725 3052 3175 3556 3815 4445 5450 6350 7630 8890 10900 12700 13843 15260 17780 19075 22225 27686 38150 44450 55372 69215 76300 88900 96901 138430 193802 276860 346075 387604 484505 692150 969010 1384300 1938020 2422525 4845050 9690100