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63712740 = 223572131667
BaseRepresentation
bin1111001100001…
…0110111100100
311102212221110010
43303002313210
5112302301430
610153330220
71402356300
oct363026744
9142787403
1063712740
1132a67363
1219406970
1310279b60
148666d00
1558d7cb0
hex3cc2de4

63712740 has 144 divisors (see below), whose sum is σ = 223618752. Its totient is φ = 13434624.

The previous prime is 63712717. The next prime is 63712741. The reversal of 63712740 is 4721736.

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 = 63712698 and 63712707.

It is not an unprimeable number, because it can be changed into a prime (63712741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37387 + ... + 39053.

It is an arithmetic number, because the mean of its divisors is an integer number (1552908).

Almost surely, 263712740 is an apocalyptic number.

63712740 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 63712740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111809376).

63712740 is an abundant number, since it is smaller than the sum of its proper divisors (159906012).

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

63712740 is a wasteful number, since it uses less digits than its factorization.

63712740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 63712740 is about 7982.0260585894. The cubic root of 63712740 is about 399.4006440463.

The spelling of 63712740 in words is "sixty-three million, seven hundred twelve thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1667 1820 1911 2548 2730 2940 3185 3334 3822 5001 5460 6370 6668 7644 8335 9555 10002 11669 12740 16670 19110 20004 21671 23338 25005 33340 35007 38220 43342 46676 50010 58345 65013 70014 81683 86684 100020 108355 116690 130026 140028 151697 163366 175035 216710 233380 245049 260052 303394 325065 326732 350070 408415 433420 455091 490098 606788 650130 700140 758485 816830 910182 980196 1061879 1225245 1300260 1516970 1633660 1820364 2123758 2275455 2450490 3033940 3185637 4247516 4550910 4900980 5309395 6371274 9101820 10618790 12742548 15928185 21237580 31856370 63712740