Search a number
-
+
64296980 = 2251121632
BaseRepresentation
bin1111010101000…
…1100000010100
311110222121212122
43311101200110
5112430000410
610214035112
71410341516
oct365214024
9143877778
1064296980
1133326300
1219648a98
1310422a67
148779bb6
1559a0e55
hex3d51814

64296980 has 54 divisors (see below), whose sum is σ = 149330538. Its totient is φ = 23237280.

The previous prime is 64296959. The next prime is 64297001. The reversal of 64296980 is 8969246.

It is an interprime number because it is at equal distance from previous prime (64296959) and next prime (64297001).

It can be written as a sum of positive squares in only one way, i.e., 51437584 + 12859396 = 7172^2 + 3586^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 394379 + ... + 394541.

Almost surely, 264296980 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 64296980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74665269).

64296980 is an abundant number, since it is smaller than the sum of its proper divisors (85033558).

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

64296980 is a wasteful number, since it uses less digits than its factorization.

64296980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 64296980 is about 8018.5397673142. The cubic root of 64296980 is about 400.6177537928.

The spelling of 64296980 in words is "sixty-four million, two hundred ninety-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 163 220 242 326 484 605 652 815 1210 1630 1793 2420 3260 3586 7172 8965 17930 19723 26569 35860 39446 53138 78892 98615 106276 132845 197230 265690 292259 394460 531380 584518 1169036 1461295 2922590 3214849 5845180 6429698 12859396 16074245 32148490 64296980