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23523480 = 2333523947
BaseRepresentation
bin101100110111…
…1000010011000
31122021010011000
41121233002120
522010222410
62200105000
7403642401
oct131570230
948233130
1023523480
11123075a2
127a65160
134b48126
1431a49a8
1520e9dc0
hex166f098

23523480 has 128 divisors (see below), whose sum is σ = 81907200. Its totient is φ = 5993856.

The previous prime is 23523473. The next prime is 23523541. The reversal of 23523480 is 8432532.

It is a super-2 number, since 2×235234802 = 1106708222620800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24367 + ... + 25313.

It is an arithmetic number, because the mean of its divisors is an integer number (639900).

Almost surely, 223523480 is an apocalyptic number.

23523480 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 23523480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40953600).

23523480 is an abundant number, since it is smaller than the sum of its proper divisors (58383720).

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

23523480 is a wasteful number, since it uses less digits than its factorization.

23523480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 23523480 is about 4850.1010298756. The cubic root of 23523480 is about 286.5280803595.

It can be divided in two parts, 2352 and 3480, that added together give a cube (5832 = 183).

The spelling of 23523480 in words is "twenty-three million, five hundred twenty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 27 30 36 40 45 46 54 60 69 72 90 92 108 115 120 135 138 180 184 207 216 230 270 276 345 360 414 460 540 552 621 690 828 920 947 1035 1080 1242 1380 1656 1894 2070 2484 2760 2841 3105 3788 4140 4735 4968 5682 6210 7576 8280 8523 9470 11364 12420 14205 17046 18940 21781 22728 24840 25569 28410 34092 37880 42615 43562 51138 56820 65343 68184 85230 87124 102276 108905 113640 127845 130686 170460 174248 196029 204552 217810 255690 261372 326715 340920 392058 435620 511380 522744 588087 653430 784116 871240 980145 1022760 1176174 1306860 1568232 1960290 2352348 2613720 2940435 3920580 4704696 5880870 7841160 11761740 23523480