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135247440 = 24351134987
BaseRepresentation
bin10000000111110…
…11011001010000
3100102111021121110
420003323121100
5234110404230
621230453320
73231404256
oct1003733120
9312437543
10135247440
116a386449
1239364240
1322035093
1413d685d6
15bd184b0
hex80fb650

135247440 has 80 divisors (see below), whose sum is σ = 423062208. Its totient is φ = 35739648.

The previous prime is 135247439. The next prime is 135247531. The reversal of 135247440 is 44742531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 135247398 and 135247407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24627 + ... + 29613.

Almost surely, 2135247440 is an apocalyptic number.

135247440 is a gapful number since it is divisible by the number (10) 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 135247440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211531104).

135247440 is an abundant number, since it is smaller than the sum of its proper divisors (287814768).

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

135247440 is a wasteful number, since it uses less digits than its factorization.

135247440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 5110 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 135247440 is about 11629.5932860956. The cubic root of 135247440 is about 513.3060123013.

Adding to 135247440 its reverse (44742531), we get a palindrome (179989971).

The spelling of 135247440 in words is "one hundred thirty-five million, two hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 904 1130 1356 1695 1808 2260 2712 3390 4520 4987 5424 6780 9040 9974 13560 14961 19948 24935 27120 29922 39896 49870 59844 74805 79792 99740 119688 149610 199480 239376 299220 398960 563531 598440 1127062 1196880 1690593 2254124 2817655 3381186 4508248 5635310 6762372 8452965 9016496 11270620 13524744 16905930 22541240 27049488 33811860 45082480 67623720 135247440