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23479820 = 22572131997
BaseRepresentation
bin101100110010…
…0011000001100
31122011220020222
41121210120030
522002323240
62155130512
7403401200
oct131443014
948156228
1023479820
1112287811
127a43a38
134b312b0
143192b00
1520dbeb5
hex166460c

23479820 has 144 divisors (see below), whose sum is σ = 65691360. Its totient is φ = 6967296.

The previous prime is 23479789. The next prime is 23479823. The reversal of 23479820 is 2897432.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23479823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242012 + ... + 242108.

It is an arithmetic number, because the mean of its divisors is an integer number (456190).

Almost surely, 223479820 is an apocalyptic number.

23479820 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 23479820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32845680).

23479820 is an abundant number, since it is smaller than the sum of its proper divisors (42211540).

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

23479820 is a wasteful number, since it uses less digits than its factorization.

23479820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 23479820 is about 4845.5980023110. The cubic root of 23479820 is about 286.3507034937.

It can be divided in two parts, 2347 and 9820, that added together give a cube (12167 = 233).

The spelling of 23479820 in words is "twenty-three million, four hundred seventy-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 49 52 65 70 76 91 95 97 98 130 133 140 182 190 194 196 245 247 260 266 364 380 388 455 485 490 494 532 637 665 679 910 931 970 980 988 1235 1261 1274 1330 1358 1729 1820 1843 1862 1940 2470 2522 2548 2660 2716 3185 3395 3458 3686 3724 4655 4753 4940 5044 6305 6370 6790 6916 7372 8645 8827 9215 9310 9506 12103 12610 12740 12901 13580 17290 17654 18430 18620 19012 23765 23959 24206 25220 25802 34580 35308 36860 44135 47530 47918 48412 51604 60515 61789 64505 88270 90307 95060 95836 119795 121030 123578 129010 167713 176540 180614 239590 242060 247156 258020 308945 335426 361228 451535 479180 617890 670852 838565 903070 1173991 1235780 1677130 1806140 2347982 3354260 4695964 5869955 11739910 23479820