Search a number
-
+
123049472 = 2971319139
BaseRepresentation
bin1110101010110…
…01011000000000
322120112120010212
413111121120000
5223000040342
620113213252
73022621550
oct725313000
9276476125
10123049472
1163504987
1235261228
131c653c50
14124b1160
15ac09182
hex7559600

123049472 has 160 divisors (see below), whose sum is σ = 320812800. Its totient is φ = 45785088.

The previous prime is 123049469. The next prime is 123049481. The reversal of 123049472 is 274940321.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 885179 + ... + 885317.

It is an arithmetic number, because the mean of its divisors is an integer number (2005080).

Almost surely, 2123049472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123049472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160406400).

123049472 is an abundant number, since it is smaller than the sum of its proper divisors (197763328).

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

123049472 is a wasteful number, since it uses less digits than its factorization.

123049472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 123049472 is about 11092.7666521928. The cubic root of 123049472 is about 497.3856501748.

Adding to 123049472 its reverse (274940321), we get a palindrome (397989793).

The spelling of 123049472 in words is "one hundred twenty-three million, forty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 128 133 139 152 182 208 224 247 256 266 278 304 364 416 448 494 512 532 556 608 728 832 896 973 988 1064 1112 1216 1456 1664 1729 1792 1807 1946 1976 2128 2224 2432 2641 2912 3328 3458 3584 3614 3892 3952 4256 4448 4864 5282 5824 6656 6916 7228 7784 7904 8512 8896 9728 10564 11648 12649 13832 14456 15568 15808 17024 17792 18487 21128 23296 25298 27664 28912 31136 31616 34048 34333 35584 36974 42256 46592 50596 55328 57824 62272 63232 68096 68666 71168 73948 84512 101192 110656 115648 124544 126464 137332 147896 169024 202384 221312 231296 240331 249088 274664 295792 338048 404768 442624 462592 480662 498176 549328 591584 676096 809536 885248 925184 961324 1098656 1183168 1352192 1619072 1922648 2197312 2366336 3238144 3845296 4394624 4732672 6476288 7690592 8789248 9465344 15381184 17578496 30762368 61524736 123049472