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63679420 = 22572181359
BaseRepresentation
bin1111001011101…
…0101110111100
311102211020202001
43302322232330
5112300220140
610152512044
71402160200
oct362725674
9142736661
1063679420
1132a44322
12193ab624
131026793c
148658b00
1558cce9a
hex3cbabbc

63679420 has 72 divisors (see below), whose sum is σ = 156854880. Its totient is φ = 21651840.

The previous prime is 63679409. The next prime is 63679423. The reversal of 63679420 is 2497636.

It is a self number, because there is not a number n which added to its sum of digits gives 63679420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63679423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177201 + ... + 177559.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 263679420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63679420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427440).

63679420 is an abundant number, since it is smaller than the sum of its proper divisors (93175460).

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

63679420 is a wasteful number, since it uses less digits than its factorization.

63679420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 63679420 is about 7979.9385962550. The cubic root of 63679420 is about 399.3310067438.

The spelling of 63679420 in words is "sixty-three million, six hundred seventy-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 181 196 245 359 362 490 718 724 905 980 1267 1436 1795 1810 2513 2534 3590 3620 5026 5068 6335 7180 8869 10052 12565 12670 17591 17738 25130 25340 35182 35476 44345 50260 64979 70364 87955 88690 129958 175910 177380 259916 324895 351820 454853 649790 909706 1299580 1819412 2274265 3183971 4548530 6367942 9097060 12735884 15919855 31839710 63679420