Search a number
-
+
10545696 = 253275231
BaseRepresentation
bin101000001110…
…101000100000
3201211202222100
4220032220200
510144430241
61014010400
7155431320
oct50165040
921752870
1010545696
115a53157
123646a00
132253075
141587280
15dd49b6
hexa0ea20

10545696 has 72 divisors (see below), whose sum is σ = 34280064. Its totient is φ = 3012480.

The previous prime is 10545659. The next prime is 10545721. The reversal of 10545696 is 69654501.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105456962 = 222423408248832, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10545696.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600 + ... + 4631.

It is an arithmetic number, because the mean of its divisors is an integer number (476112).

Almost surely, 210545696 is an apocalyptic number.

10545696 is a gapful number since it is divisible by the number (16) 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 10545696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17140032).

10545696 is an abundant number, since it is smaller than the sum of its proper divisors (23734368).

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

10545696 is a wasteful number, since it uses less digits than its factorization.

10545696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5254 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 10545696 is about 3247.4137401939. The cubic root of 10545696 is about 219.2931584065.

The spelling of 10545696 in words is "ten million, five hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 5231 10462 15693 20924 31386 36617 41848 47079 62772 73234 83696 94158 109851 125544 146468 167392 188316 219702 251088 292936 329553 376632 439404 502176 585872 659106 753264 878808 1171744 1318212 1506528 1757616 2636424 3515232 5272848 10545696