Search a number
-
+
240172680 = 233511533433
BaseRepresentation
bin11100101000010…
…11111010001000
3121201221000222110
432110023322020
5442441011210
635455422320
75644301616
oct1624137210
9551830873
10240172680
11113631320
12685249a0
133a9b1617
1423c7c6b6
1516142420
hexe50be88

240172680 has 128 divisors (see below), whose sum is σ = 801083520. Its totient is φ = 57108480.

The previous prime is 240172663. The next prime is 240172687. The reversal of 240172680 is 86271042.

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

It is not an unprimeable number, because it can be changed into a prime (240172687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68244 + ... + 71676.

It is an arithmetic number, because the mean of its divisors is an integer number (6258465).

Almost surely, 2240172680 is an apocalyptic number.

240172680 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 240172680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400541760).

240172680 is an abundant number, since it is smaller than the sum of its proper divisors (560910840).

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

240172680 is a wasteful number, since it uses less digits than its factorization.

240172680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511 (or 3507 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 240172680 is about 15497.5056057418. The cubic root of 240172680 is about 621.5955090453.

The spelling of 240172680 in words is "two hundred forty million, one hundred seventy-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 53 55 60 66 88 106 110 120 132 159 165 212 220 264 265 318 330 424 440 530 583 636 660 795 1060 1166 1272 1320 1590 1749 2120 2332 2915 3180 3433 3498 4664 5830 6360 6866 6996 8745 10299 11660 13732 13992 17165 17490 20598 23320 27464 34330 34980 37763 41196 51495 68660 69960 75526 82392 102990 113289 137320 151052 181949 188815 205980 226578 302104 363898 377630 411960 453156 545847 566445 727796 755260 906312 909745 1091694 1132890 1455592 1510520 1819490 2001439 2183388 2265780 2729235 3638980 4002878 4366776 4531560 5458470 6004317 7277960 8005756 10007195 10916940 12008634 16011512 20014390 21833880 24017268 30021585 40028780 48034536 60043170 80057560 120086340 240172680