[go: up one dir, main page]

Search a number
-
+
64974080 = 285232207
BaseRepresentation
bin1111011111011…
…0110100000000
311112021000200102
43313312310000
5113113132310
610240341532
71416161543
oct367666400
9145230612
1064974080
1133748a96
12199148a8
13105cc002
1488b485a
155a868a5
hex3df6d00

64974080 has 72 divisors (see below), whose sum is σ = 162473472. Its totient is φ = 24848384.

The previous prime is 64974073. The next prime is 64974083. The reversal of 64974080 is 8047946.

It is a happy number.

64974080 is nontrivially palindromic in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64974083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28337 + ... + 30543.

It is an arithmetic number, because the mean of its divisors is an integer number (2256576).

Almost surely, 264974080 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 64974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81236736).

64974080 is an abundant number, since it is smaller than the sum of its proper divisors (97499392).

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

64974080 is a wasteful number, since it uses less digits than its factorization.

64974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2237 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 64974080 is about 8060.6500978519. The cubic root of 64974080 is about 402.0191240294.

The spelling of 64974080 in words is "sixty-four million, nine hundred seventy-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 256 320 368 460 640 736 920 1280 1472 1840 2207 2944 3680 4414 5888 7360 8828 11035 14720 17656 22070 29440 35312 44140 50761 70624 88280 101522 141248 176560 203044 253805 282496 353120 406088 507610 564992 706240 812176 1015220 1412480 1624352 2030440 2824960 3248704 4060880 6497408 8121760 12994816 16243520 32487040 64974080