Search a number
-
+
24532680540 = 22353779139883
BaseRepresentation
bin10110110110010000…
…101111111101011100
32100022201120022000210
4112312100233331130
5400220331234130
615134204252420
71525641225654
oct266620577534
970281508023
1024532680540
11a44a070aa5
124907b41110
13240c784524
14128a29b364
15988b625b0
hex5b642ff5c

24532680540 has 96 divisors (see below), whose sum is σ = 71441556480. Its totient is φ = 6284618496.

The previous prime is 24532680517. The next prime is 24532680563. The reversal of 24532680540 is 4508623542.

It is an interprime number because it is at equal distance from previous prime (24532680517) and next prime (24532680563).

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, 105439 + ... + 245321.

It is an arithmetic number, because the mean of its divisors is an integer number (744182880).

Almost surely, 224532680540 is an apocalyptic number.

24532680540 is a gapful number since it is divisible by the number (20) 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 24532680540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35720778240).

24532680540 is an abundant number, since it is smaller than the sum of its proper divisors (46908875940).

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

24532680540 is a wasteful number, since it uses less digits than its factorization.

24532680540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140011 (or 140009 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 24532680540 in words is "twenty-four billion, five hundred thirty-two million, six hundred eighty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 79 111 148 158 185 222 237 316 370 395 444 474 555 740 790 948 1110 1185 1580 2220 2370 2923 4740 5846 8769 11692 14615 17538 29230 35076 43845 58460 87690 139883 175380 279766 419649 559532 699415 839298 1398830 1678596 2098245 2797660 4196490 5175671 8392980 10351342 11050757 15527013 20702684 22101514 25878355 31054026 33152271 44203028 51756710 55253785 62108052 66304542 77635065 103513420 110507570 132609084 155270130 165761355 221015140 310540260 331522710 408878009 663045420 817756018 1226634027 1635512036 2044390045 2453268054 4088780090 4906536108 6133170135 8177560180 12266340270 24532680540