Search a number
-
+
10312720 = 2451111719
BaseRepresentation
bin100111010101…
…110000010000
3201101221101121
4213111300100
510120001340
61005012024
7153441145
oct47256020
921357347
1010312720
115904110
123554014
1321a1002
1415263cc
15d8a94a
hex9d5c10

10312720 has 40 divisors (see below), whose sum is σ = 26159040. Its totient is φ = 3749760.

The previous prime is 10312699. The next prime is 10312723. The reversal of 10312720 is 2721301.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10312694 and 10312703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312723) 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, 4980 + ... + 6739.

It is an arithmetic number, because the mean of its divisors is an integer number (653976).

Almost surely, 210312720 is an apocalyptic number.

10312720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10312720 is an abundant number, since it is smaller than the sum of its proper divisors (15846320).

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

10312720 is a wasteful number, since it uses less digits than its factorization.

10312720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11743 (or 11737 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 10312720 is about 3211.3423984371. The cubic root of 10312720 is about 217.6662401061. Note that the first 3 decimals are identical.

The spelling of 10312720 in words is "ten million, three hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 11719 23438 46876 58595 93752 117190 128909 187504 234380 257818 468760 515636 644545 937520 1031272 1289090 2062544 2578180 5156360 10312720