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240828947460 = 223252635087219
BaseRepresentation
bin1110000001001010000…
…1100001110000000100
3212000121210011010010200
43200102201201300010
512421204202304320
6302345120050500
723253652164153
oct3402241416004
9760553133120
10240828947460
1193153731792
123a811163a30
131993004b49a
14b9287d159a
1563e7b00290
hex3812861c04

240828947460 has 72 divisors (see below), whose sum is σ = 733292239680. Its totient is φ = 63976853568.

The previous prime is 240828947419. The next prime is 240828947461. The reversal of 240828947460 is 64749828042.

240828947460 is a `hidden beast` number, since 2 + 408 + 28 + 94 + 74 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 240828947397 and 240828947406.

It is not an unprimeable number, because it can be changed into a prime (240828947461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2496270 + ... + 2590949.

It is an arithmetic number, because the mean of its divisors is an integer number (10184614440).

Almost surely, 2240828947460 is an apocalyptic number.

240828947460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240828947460 is an abundant number, since it is smaller than the sum of its proper divisors (492463292220).

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

240828947460 is a wasteful number, since it uses less digits than its factorization.

240828947460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5087497 (or 5087492 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 240828947460 in words is "two hundred forty billion, eight hundred twenty-eight million, nine hundred forty-seven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 263 526 789 1052 1315 1578 2367 2630 3156 3945 4734 5260 7890 9468 11835 15780 23670 47340 5087219 10174438 15261657 20348876 25436095 30523314 45784971 50872190 61046628 76308285 91569942 101744380 152616570 183139884 228924855 305233140 457849710 915699420 1337938597 2675877194 4013815791 5351754388 6689692985 8027631582 12041447373 13379385970 16055263164 20069078955 24082894746 26758771940 40138157910 48165789492 60207236865 80276315820 120414473730 240828947460