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10311680 = 21151953
BaseRepresentation
bin100111010101…
…100000000000
3201101212222002
4213111200000
510114433210
61005003132
7153435131
oct47254000
921355862
1010311680
115903355
1235534a8
1321a06b2
141525c88
15d8a4a5
hex9d5800

10311680 has 96 divisors (see below), whose sum is σ = 26535600. Its totient is φ = 3833856.

The previous prime is 10311649. The next prime is 10311703. The reversal of 10311680 is 8611301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194534 + ... + 194586.

Almost surely, 210311680 is an apocalyptic number.

10311680 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 10311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13267800).

10311680 is an abundant number, since it is smaller than the sum of its proper divisors (16223920).

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

10311680 is an equidigital number, since it uses as much as digits as its factorization.

10311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 10311680 is about 3211.1804683013. The cubic root of 10311680 is about 217.6589229128.

Adding to 10311680 its reverse (8611301), we get a palindrome (18922981).

The spelling of 10311680 in words is "ten million, three hundred eleven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 53 64 76 80 95 106 128 152 160 190 212 256 265 304 320 380 424 512 530 608 640 760 848 1007 1024 1060 1216 1280 1520 1696 2014 2048 2120 2432 2560 3040 3392 4028 4240 4864 5035 5120 6080 6784 8056 8480 9728 10070 10240 12160 13568 16112 16960 19456 20140 24320 27136 32224 33920 38912 40280 48640 54272 64448 67840 80560 97280 108544 128896 135680 161120 194560 257792 271360 322240 515584 542720 644480 1031168 1288960 2062336 2577920 5155840 10311680