[go: up one dir, main page]

Search a number
-
+
64424640 = 263579587
BaseRepresentation
bin1111010111000…
…0101011000000
311111020002222210
43311300223000
5112443042030
610220502120
71411412640
oct365605300
9144202883
1064424640
1133403205
12196aa940
1310468bb7
1487b0520
1559c8bb0
hex3d70ac0

64424640 has 112 divisors (see below), whose sum is σ = 233793792. Its totient is φ = 14724096.

The previous prime is 64424623. The next prime is 64424651. The reversal of 64424640 is 4642446.

It is a tau number, because it is divible by the number of its divisors (112).

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 = 64424598 and 64424607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1927 + ... + 11513.

Almost surely, 264424640 is an apocalyptic number.

64424640 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 64424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116896896).

64424640 is an abundant number, since it is smaller than the sum of its proper divisors (169369152).

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

64424640 is a wasteful number, since it uses less digits than its factorization.

64424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9614 (or 9604 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 64424640 is about 8026.4961222192. The cubic root of 64424640 is about 400.8827172593.

The spelling of 64424640 in words is "sixty-four million, four hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 9587 19174 28761 38348 47935 57522 67109 76696 95870 115044 134218 143805 153392 191740 201327 230088 268436 287610 306784 335545 383480 402654 460176 536872 575220 613568 671090 766960 805308 920352 1006635 1073744 1150440 1342180 1533920 1610616 1840704 2013270 2147488 2300880 2684360 3067840 3221232 4026540 4294976 4601760 5368720 6442464 8053080 9203520 10737440 12884928 16106160 21474880 32212320 64424640