Search a number
-
+
10654480 = 245971373
BaseRepresentation
bin101000101001…
…001100010000
3202001022012101
4220221030100
510211420410
61020210144
7156363424
oct50511420
922038171
1010654480
116017961
123699954
132290735
1415b4b84
15e06d3a
hexa29310

10654480 has 40 divisors (see below), whose sum is σ = 25045272. Its totient is φ = 4214784.

The previous prime is 10654471. The next prime is 10654481. The reversal of 10654480 is 8445601.

It can be written as a sum of positive squares in 4 ways, for example, as 3748096 + 6906384 = 1936^2 + 2628^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106544802 = 227035888140800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10654481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7074 + ... + 8446.

Almost surely, 210654480 is an apocalyptic number.

10654480 is a gapful number since it is divisible by the number (10) 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 10654480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12522636).

10654480 is an abundant number, since it is smaller than the sum of its proper divisors (14390792).

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

10654480 is a wasteful number, since it uses less digits than its factorization.

10654480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 10654480 is about 3264.1200958298. The cubic root of 10654480 is about 220.0446190492.

The spelling of 10654480 in words is "ten million, six hundred fifty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1373 1552 1940 2746 3880 5492 6865 7760 10984 13730 21968 27460 54920 109840 133181 266362 532724 665905 1065448 1331810 2130896 2663620 5327240 10654480