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10490880 = 21035683
BaseRepresentation
bin101000000001…
…010000000000
3201201222210010
4220001100000
510141202010
61012504520
7155112441
oct50012000
921658703
1010490880
115a15a54
12361b140
13223412a
1415712c8
15dc3620
hexa01400

10490880 has 88 divisors (see below), whose sum is σ = 33603552. Its totient is φ = 2793472.

The previous prime is 10490867. The next prime is 10490881. The reversal of 10490880 is 8809401.

It is a happy number.

It is a super-2 number, since 2×104908802 = 220117126348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10490881) 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, 15019 + ... + 15701.

Almost surely, 210490880 is an apocalyptic number.

10490880 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 10490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16801776).

10490880 is an abundant number, since it is smaller than the sum of its proper divisors (23112672).

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

10490880 is an equidigital number, since it uses as much as digits as its factorization.

10490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 10490880 is about 3238.9627969460. The cubic root of 10490880 is about 218.9125398768.

The spelling of 10490880 in words is "ten million, four hundred ninety thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 683 768 960 1024 1280 1366 1536 1920 2049 2560 2732 3072 3415 3840 4098 5120 5464 6830 7680 8196 10245 10928 13660 15360 16392 20490 21856 27320 32784 40980 43712 54640 65568 81960 87424 109280 131136 163920 174848 218560 262272 327840 349696 437120 524544 655680 699392 874240 1049088 1311360 1748480 2098176 2622720 3496960 5245440 10490880