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10488700 = 2252531979
BaseRepresentation
bin101000000000…
…101101111100
3201201212210101
4220000231330
510141114300
61012450444
7155103205
oct50005574
921655711
1010488700
115a14352
123619a24
132233141
1415705ac
15dc2b6a
hexa00b7c

10488700 has 36 divisors (see below), whose sum is σ = 23201640. Its totient is φ = 4114240.

The previous prime is 10488697. The next prime is 10488701. The reversal of 10488700 is 788401.

It is a super-2 number, since 2×104887002 = 220025655380000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10488701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4311 + ... + 6289.

It is an arithmetic number, because the mean of its divisors is an integer number (644490).

Almost surely, 210488700 is an apocalyptic number.

10488700 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 10488700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11600820).

10488700 is an abundant number, since it is smaller than the sum of its proper divisors (12712940).

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

10488700 is a wasteful number, since it uses less digits than its factorization.

10488700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2046 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 10488700 is about 3238.6262519778. The cubic root of 10488700 is about 218.8973755183.

It can be divided in two parts, 104 and 88700, that added together give a square (88804 = 2982).

The spelling of 10488700 in words is "ten million, four hundred eighty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 1979 2650 3958 5300 7916 9895 19790 39580 49475 98950 104887 197900 209774 419548 524435 1048870 2097740 2622175 5244350 10488700