[go: up one dir, main page]

Search a number
-
+
63009660 = 22357712113
BaseRepresentation
bin1111000001011…
…1001101111100
311101120020000010
43300113031330
5112112302120
610130303220
71363400430
oct360271574
9141506003
1063009660
11326270aa
1219127b10
1310091b2c
1485229c0
1557e97e0
hex3c1737c

63009660 has 96 divisors (see below), whose sum is σ = 204567552. Its totient is φ = 14192640.

The previous prime is 63009649. The next prime is 63009671. The reversal of 63009660 is 6690036.

It is an interprime number because it is at equal distance from previous prime (63009649) and next prime (63009671).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28764 + ... + 30876.

It is an arithmetic number, because the mean of its divisors is an integer number (2130912).

Almost surely, 263009660 is an apocalyptic number.

63009660 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 63009660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102283776).

63009660 is an abundant number, since it is smaller than the sum of its proper divisors (141557892).

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

63009660 is a wasteful number, since it uses less digits than its factorization.

63009660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2201 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 63009660 is about 7937.8624326704. The cubic root of 63009660 is about 397.9260571538.

Adding to 63009660 its reverse (6690036), we get a palindrome (69699696).

The spelling of 63009660 in words is "sixty-three million, nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 140 142 210 213 284 355 420 426 497 710 852 994 1065 1420 1491 1988 2113 2130 2485 2982 4226 4260 4970 5964 6339 7455 8452 9940 10565 12678 14791 14910 21130 25356 29582 29820 31695 42260 44373 59164 63390 73955 88746 126780 147910 150023 177492 221865 295820 300046 443730 450069 600092 750115 887460 900138 1050161 1500230 1800276 2100322 2250345 3000460 3150483 4200644 4500690 5250805 6300966 9001380 10501610 12601932 15752415 21003220 31504830 63009660