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23013120 = 283513461
BaseRepresentation
bin101011111001…
…0011100000000
31121022012001210
41113302130000
521342404440
62141130120
7366415434
oct127623400
947265053
1023013120
1111a99109
127859940
1349c9a40
1430b09c4
152048a80
hex15f2700

23013120 has 144 divisors (see below), whose sum is σ = 79323552. Its totient is φ = 5652480.

The previous prime is 23013119. The next prime is 23013131. The reversal of 23013120 is 2131032.

It is a happy number.

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 = 23013096 and 23013105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49690 + ... + 50150.

It is an arithmetic number, because the mean of its divisors is an integer number (550858).

Almost surely, 223013120 is an apocalyptic number.

23013120 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 23013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39661776).

23013120 is an abundant number, since it is smaller than the sum of its proper divisors (56310432).

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

23013120 is a wasteful number, since it uses less digits than its factorization.

23013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 484 counting only the distinct ones).

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

The square root of 23013120 is about 4797.1991828566. The cubic root of 23013120 is about 284.4407623945.

Adding to 23013120 its reverse (2131032), we get a palindrome (25144152).

The spelling of 23013120 in words is "twenty-three million, thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 461 480 520 624 640 768 780 832 922 960 1040 1248 1280 1383 1560 1664 1844 1920 2080 2305 2496 2766 3120 3328 3688 3840 4160 4610 4992 5532 5993 6240 6915 7376 8320 9220 9984 11064 11986 12480 13830 14752 16640 17979 18440 22128 23972 24960 27660 29504 29965 35958 36880 44256 47944 49920 55320 59008 59930 71916 73760 88512 89895 95888 110640 118016 119860 143832 147520 177024 179790 191776 221280 239720 287664 295040 354048 359580 383552 442560 479440 575328 590080 719160 767104 885120 958880 1150656 1438320 1534208 1770240 1917760 2301312 2876640 3835520 4602624 5753280 7671040 11506560 23013120