Search a number
-
+
64330680 = 23352292341
BaseRepresentation
bin1111010101100…
…1101110111000
311111001100002210
43311121232320
5112432040210
610214455120
71410542001
oct365315670
9144040083
1064330680
1133349657
12196644a0
13104351bb
1487881a8
1559aae20
hex3d59bb8

64330680 has 64 divisors (see below), whose sum is σ = 193917600. Its totient is φ = 17072640.

The previous prime is 64330663. The next prime is 64330687. The reversal of 64330680 is 8603346.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64330687) 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, 26310 + ... + 28650.

Almost surely, 264330680 is an apocalyptic number.

64330680 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 64330680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96958800).

64330680 is an abundant number, since it is smaller than the sum of its proper divisors (129586920).

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

64330680 is a wasteful number, since it uses less digits than its factorization.

64330680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 64330680 is about 8020.6408721498. The cubic root of 64330680 is about 400.6877335454.

The spelling of 64330680 in words is "sixty-four million, three hundred thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 229 458 687 916 1145 1374 1832 2290 2341 2748 3435 4580 4682 5496 6870 7023 9160 9364 11705 13740 14046 18728 23410 27480 28092 35115 46820 56184 70230 93640 140460 280920 536089 1072178 1608267 2144356 2680445 3216534 4288712 5360890 6433068 8041335 10721780 12866136 16082670 21443560 32165340 64330680