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2313920 = 26571033
BaseRepresentation
bin1000110100111011000000
311100120002202
420310323000
51043021140
6121332332
725445060
oct10647300
94316082
102313920
111340534
129370a8
136302ab
144433a0
1530a915
hex234ec0

2313920 has 56 divisors (see below), whose sum is σ = 6303264. Its totient is φ = 792576.

The previous prime is 2313907. The next prime is 2313929. The reversal of 2313920 is 293132.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a junction number, because it is equal to n+sod(n) for n = 2313892 and 2313901.

It is not an unprimeable number, because it can be changed into a prime (2313929) 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, 1724 + ... + 2756.

22313920 is an apocalyptic number.

2313920 is a gapful number since it is divisible by the number (20) 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 2313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151632).

2313920 is an abundant number, since it is smaller than the sum of its proper divisors (3989344).

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

2313920 is a wasteful number, since it uses less digits than its factorization.

2313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 2313920 is about 1521.1574540461. The cubic root of 2313920 is about 132.2663736408.

The spelling of 2313920 in words is "two million, three hundred thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1033 1120 2066 2240 4132 5165 7231 8264 10330 14462 16528 20660 28924 33056 36155 41320 57848 66112 72310 82640 115696 144620 165280 231392 289240 330560 462784 578480 1156960 2313920