Search a number
-
+
232107040 = 25511219631
BaseRepresentation
bin11011101010110…
…10110000100000
3121011202021000001
431311122300200
5433404411130
635010505344
75515606624
oct1565326040
9534667001
10232107040
1110a022500
1265895254
1339119359
1422b7d184
151559c6ca
hexdd5ac20

232107040 has 144 divisors (see below), whose sum is σ = 635463360. Its totient is φ = 79833600.

The previous prime is 232107037. The next prime is 232107041. The reversal of 232107040 is 40701232.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 232106999 and 232107017.

It is not an unprimeable number, because it can be changed into a prime (232107041) 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 23 ways as a sum of consecutive naturals, for example, 367525 + ... + 368155.

It is an arithmetic number, because the mean of its divisors is an integer number (4412940).

Almost surely, 2232107040 is an apocalyptic number.

232107040 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 232107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317731680).

232107040 is an abundant number, since it is smaller than the sum of its proper divisors (403356320).

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

232107040 is a wasteful number, since it uses less digits than its factorization.

232107040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 232107040 is about 15235.0595666706. The cubic root of 232107040 is about 614.5578508353.

Adding to 232107040 its reverse (40701232), we get a palindrome (272808272).

The spelling of 232107040 in words is "two hundred thirty-two million, one hundred seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 110 121 152 160 176 190 209 220 242 304 352 380 418 440 484 605 608 631 760 836 880 968 1045 1210 1262 1520 1672 1760 1936 2090 2299 2420 2524 3040 3155 3344 3872 4180 4598 4840 5048 6310 6688 6941 8360 9196 9680 10096 11495 11989 12620 13882 16720 18392 19360 20192 22990 23978 25240 27764 33440 34705 36784 45980 47956 50480 55528 59945 69410 73568 76351 91960 95912 100960 111056 119890 131879 138820 152702 183920 191824 222112 239780 263758 277640 305404 367840 381755 383648 479560 527516 555280 610808 659395 763510 959120 1055032 1110560 1221616 1318790 1450669 1527020 1918240 2110064 2443232 2637580 2901338 3054040 4220128 5275160 5802676 6108080 7253345 10550320 11605352 12216160 14506690 21100640 23210704 29013380 46421408 58026760 116053520 232107040