Search a number
-
+
9740952 = 2333133469
BaseRepresentation
bin100101001010…
…001010011000
3200022220002000
4211022022120
54443202302
6544441000
7145540164
oct45121230
920286060
109740952
115553581
123319160
1320309a0
141417ca4
15cc631c
hex94a298

9740952 has 64 divisors (see below), whose sum is σ = 29148000. Its totient is φ = 2996352.

The previous prime is 9740947. The next prime is 9740957. The reversal of 9740952 is 2590479.

It is an interprime number because it is at equal distance from previous prime (9740947) and next prime (9740957).

It is a super-2 number, since 2×97409522 = 189772291732608, which contains 22 as substring.

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

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9740957) 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, 1074 + ... + 4542.

Almost surely, 29740952 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 9740952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14574000).

9740952 is an abundant number, since it is smaller than the sum of its proper divisors (19407048).

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

9740952 is a wasteful number, since it uses less digits than its factorization.

9740952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3487 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 9740952 is about 3121.0498233767. The cubic root of 9740952 is about 213.5668298448.

It can be divided in two parts, 97409 and 52, that added together give a triangular number (97461 = T441).

The spelling of 9740952 in words is "nine million, seven hundred forty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 3469 6938 10407 13876 20814 27752 31221 41628 45097 62442 83256 90194 93663 124884 135291 180388 187326 249768 270582 360776 374652 405873 541164 749304 811746 1082328 1217619 1623492 2435238 3246984 4870476 9740952