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63047040 = 273574691
BaseRepresentation
bin1111000010000…
…0010110000000
311101122010021120
43300200112000
5112120001130
610131152240
71363614420
oct360402600
9141563246
1063047040
11326521a1
1219145680
13100a5b54
148532480
155805910
hex3c20580

63047040 has 128 divisors (see below), whose sum is σ = 229720320. Its totient is φ = 14407680.

The previous prime is 63046967. The next prime is 63047041. The reversal of 63047040 is 4074036.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 63047040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63047041) 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, 11095 + ... + 15785.

It is an arithmetic number, because the mean of its divisors is an integer number (1794690).

Almost surely, 263047040 is an apocalyptic number.

63047040 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 63047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114860160).

63047040 is an abundant number, since it is smaller than the sum of its proper divisors (166673280).

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

63047040 is a wasteful number, since it uses less digits than its factorization.

63047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4720 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 63047040 is about 7940.2166217302. The cubic root of 63047040 is about 398.0047304640.

The spelling of 63047040 in words is "sixty-three million, forty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 4691 6720 9382 13440 14073 18764 23455 28146 32837 37528 46910 56292 65674 70365 75056 93820 98511 112584 131348 140730 150112 164185 187640 197022 225168 262696 281460 300224 328370 375280 394044 450336 492555 525392 562920 600448 656740 750560 788088 900672 985110 1050784 1125840 1313480 1501120 1576176 1801344 1970220 2101568 2251680 2626960 3002240 3152352 3940440 4203136 4503360 5253920 6304704 7880880 9006720 10507840 12609408 15761760 21015680 31523520 63047040