Search a number
-
+
129221040 = 24351383499
BaseRepresentation
bin1111011001111…
…00000110110000
3100000011002221110
413230330012300
5231040033130
620453353320
73126234504
oct754740660
9300132843
10129221040
1166a3a753
1237338840
1320a05070
141323a304
15b527ab0
hex7b3c1b0

129221040 has 160 divisors (see below), whose sum is σ = 437472000. Its totient is φ = 31362048.

The previous prime is 129221039. The next prime is 129221041. The reversal of 129221040 is 40122921.

It is an interprime number because it is at equal distance from previous prime (129221039) and next prime (129221041).

It is a junction number, because it is equal to n+sod(n) for n = 129220998 and 129221016.

It is not an unprimeable number, because it can be changed into a prime (129221041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258711 + ... + 259209.

It is an arithmetic number, because the mean of its divisors is an integer number (2734200).

Almost surely, 2129221040 is an apocalyptic number.

129221040 is a gapful number since it is divisible by the number (10) 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 129221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218736000).

129221040 is an abundant number, since it is smaller than the sum of its proper divisors (308250960).

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

129221040 is a wasteful number, since it uses less digits than its factorization.

129221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 129221040 is about 11367.5432702057. The cubic root of 129221040 is about 505.5658657122.

Adding to 129221040 its reverse (40122921), we get a palindrome (169343961).

The spelling of 129221040 in words is "one hundred twenty-nine million, two hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 83 104 120 130 156 166 195 208 240 249 260 312 332 390 415 498 499 520 624 664 780 830 996 998 1040 1079 1245 1328 1497 1560 1660 1992 1996 2158 2490 2495 2994 3120 3237 3320 3984 3992 4316 4980 4990 5395 5988 6474 6487 6640 7485 7984 8632 9960 9980 10790 11976 12948 12974 14970 16185 17264 19461 19920 19960 21580 23952 25896 25948 29940 32370 32435 38922 39920 41417 43160 51792 51896 59880 64740 64870 77844 82834 86320 97305 103792 119760 124251 129480 129740 155688 165668 194610 207085 248502 258960 259480 311376 331336 389220 414170 497004 518960 538421 621255 662672 778440 828340 994008 1076842 1242510 1556880 1615263 1656680 1988016 2153684 2485020 2692105 3230526 3313360 4307368 4970040 5384210 6461052 8076315 8614736 9940080 10768420 12922104 16152630 21536840 25844208 32305260 43073680 64610520 129221040