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10488380 = 2257193943
BaseRepresentation
bin101000000000…
…101000111100
3201201212100112
4220000220330
510141112010
61012445152
7155102240
oct50005074
921655315
1010488380
115a14091
1236197b8
132232c56
141570420
15dc2a05
hexa00a3c

10488380 has 48 divisors (see below), whose sum is σ = 26503680. Its totient is φ = 3405888.

The previous prime is 10488341. The next prime is 10488403. The reversal of 10488380 is 8388401.

It is a super-2 number, since 2×104883802 = 220012230048800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 689 + ... + 4631.

It is an arithmetic number, because the mean of its divisors is an integer number (552160).

Almost surely, 210488380 is an apocalyptic number.

10488380 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 10488380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13251840).

10488380 is an abundant number, since it is smaller than the sum of its proper divisors (16015300).

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

10488380 is a wasteful number, since it uses less digits than its factorization.

10488380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3978 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 10488380 is about 3238.5768479380. The cubic root of 10488380 is about 218.8951493806.

The spelling of 10488380 in words is "ten million, four hundred eighty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 3943 7886 15772 19715 27601 39430 55202 74917 78860 110404 138005 149834 276010 299668 374585 524419 552020 749170 1048838 1498340 2097676 2622095 5244190 10488380