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23531480 = 2357312711
BaseRepresentation
bin101100111000…
…0111111011000
31122021112010022
41121300333120
522011001410
62200210012
7404004620
oct131607730
948245108
1023531480
1112312605
127a69908
134b4b96b
1431a7880
1520ec455
hex1670fd8

23531480 has 64 divisors (see below), whose sum is σ = 62484480. Its totient is φ = 7804800.

The previous prime is 23531479. The next prime is 23531489. The reversal of 23531480 is 8413532.

It is a super-3 number, since 3×235314803 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23531489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7325 + ... + 10035.

It is an arithmetic number, because the mean of its divisors is an integer number (976320).

Almost surely, 223531480 is an apocalyptic number.

23531480 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 23531480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31242240).

23531480 is an abundant number, since it is smaller than the sum of its proper divisors (38953000).

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

23531480 is a wasteful number, since it uses less digits than its factorization.

23531480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 23531480 is about 4850.9256848564. The cubic root of 23531480 is about 286.5605580490.

It can be divided in two parts, 23 and 531480, that multiplied together give a triangular number (12224040 = T4944).

The spelling of 23531480 in words is "twenty-three million, five hundred thirty-one thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 2711 4340 5422 8680 10844 13555 18977 21688 27110 37954 54220 75908 84041 94885 108440 151816 168082 189770 336164 379540 420205 588287 672328 759080 840410 1176574 1680820 2353148 2941435 3361640 4706296 5882870 11765740 23531480