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63492240 = 2435725399
BaseRepresentation
bin1111001000110…
…1000010010000
311102110201222110
43302031002100
5112223222430
610144505320
71400450400
oct362150220
9142421873
1063492240
1132926729
121931b240
1310200696
14860a800
1558927b0
hex3c8d090

63492240 has 120 divisors (see below), whose sum is σ = 229003200. Its totient is φ = 14509824.

The previous prime is 63492227. The next prime is 63492241. The reversal of 63492240 is 4229436.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 63492198 and 63492207.

It is not an unprimeable number, because it can be changed into a prime (63492241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9061 + ... + 14459.

It is an arithmetic number, because the mean of its divisors is an integer number (1908360).

Almost surely, 263492240 is an apocalyptic number.

63492240 is a gapful number since it is divisible by the number (60) 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 63492240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114501600).

63492240 is an abundant number, since it is smaller than the sum of its proper divisors (165510960).

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

63492240 is a wasteful number, since it uses less digits than its factorization.

63492240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5429 (or 5416 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 63492240 is about 7968.2018046734. The cubic root of 63492240 is about 398.9393567422.

The spelling of 63492240 in words is "sixty-three million, four hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5399 5880 10798 11760 16197 21596 26995 32394 37793 43192 53990 64788 75586 80985 86384 107980 113379 129576 151172 161970 188965 215960 226758 259152 264551 302344 323940 377930 431920 453516 529102 566895 604688 647880 755860 793653 907032 1058204 1133790 1295760 1322755 1511720 1587306 1814064 2116408 2267580 2645510 3023440 3174612 3968265 4232816 4535160 5291020 6349224 7936530 9070320 10582040 12698448 15873060 21164080 31746120 63492240