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2313120 = 25356179
BaseRepresentation
bin1000110100101110100000
311100112000010
420310232200
51043004440
6121324520
725442535
oct10645640
94315003
102313120
11133a977
12936740
1362cb14
14442d8c
1530a580
hex234ba0

2313120 has 96 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 599040.

The previous prime is 2313107. The next prime is 2313137. The reversal of 2313120 is 213132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2313096 and 2313105.

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, 29241 + ... + 29319.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

22313120 is an apocalyptic number.

2313120 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 2313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2313120 is an abundant number, since it is smaller than the sum of its proper divisors (5186400).

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

2313120 is a wasteful number, since it uses less digits than its factorization.

2313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2313120 is about 1520.8944736569. The cubic root of 2313120 is about 132.2511289052.

Adding to 2313120 its sum of digits (12), we get a palindrome (2313132).

Adding to 2313120 its reverse (213132), we get a palindrome (2526252).

The spelling of 2313120 in words is "two million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 79 80 96 120 122 158 160 183 237 240 244 305 316 366 395 474 480 488 610 632 732 790 915 948 976 1185 1220 1264 1464 1580 1830 1896 1952 2370 2440 2528 2928 3160 3660 3792 4740 4819 4880 5856 6320 7320 7584 9480 9638 9760 12640 14457 14640 18960 19276 24095 28914 29280 37920 38552 48190 57828 72285 77104 96380 115656 144570 154208 192760 231312 289140 385520 462624 578280 771040 1156560 2313120