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23049720 = 23325431489
BaseRepresentation
bin101011111101…
…1010111111000
31121101001021100
41113323113320
521400042340
62142011400
7366630231
oct127732770
947331240
1023049720
1112013661
127876b60
134a105b5
1430c0088
152054830
hex15fb5f8

23049720 has 96 divisors (see below), whose sum is σ = 76705200. Its totient is φ = 5999616.

The previous prime is 23049713. The next prime is 23049721. The reversal of 23049720 is 2794032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23049721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14736 + ... + 16224.

Almost surely, 223049720 is an apocalyptic number.

23049720 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 23049720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38352600).

23049720 is an abundant number, since it is smaller than the sum of its proper divisors (53655480).

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

23049720 is a wasteful number, since it uses less digits than its factorization.

23049720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 23049720 is about 4801.0123932354. The cubic root of 23049720 is about 284.5914737831.

The spelling of 23049720 in words is "twenty-three million, forty-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1489 1548 1720 1935 2580 2978 3096 3870 4467 5160 5956 7445 7740 8934 11912 13401 14890 15480 17868 22335 26802 29780 35736 44670 53604 59560 64027 67005 89340 107208 128054 134010 178680 192081 256108 268020 320135 384162 512216 536040 576243 640270 768324 960405 1152486 1280540 1536648 1920810 2304972 2561080 2881215 3841620 4609944 5762430 7683240 11524860 23049720