Search a number
-
+
129960288 = 2538619
BaseRepresentation
bin1111011111100…
…00100101100000
3100001112200000000
413233300211200
5231232212123
620521300000
73135433653
oct757604540
9301480000
10129960288
11673a50a7
1237634600
1320c036a3
141338d89a
15b621b43
hex7bf0960

129960288 has 108 divisors (see below), whose sum is σ = 384389460. Its totient is φ = 43250112.

The previous prime is 129960269. The next prime is 129960307. The reversal of 129960288 is 882069921.

It is an interprime number because it is at equal distance from previous prime (129960269) and next prime (129960307).

It is a tau number, because it is divible by the number of its divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 209643 + ... + 210261.

Almost surely, 2129960288 is an apocalyptic number.

129960288 is a gapful number since it is divisible by the number (18) 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 129960288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192194730).

129960288 is an abundant number, since it is smaller than the sum of its proper divisors (254429172).

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

129960288 is an frugal number, since it uses more digits than its factorization.

129960288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 129960288 is about 11400.0126315719. The cubic root of 129960288 is about 506.5281138539.

The spelling of 129960288 in words is "one hundred twenty-nine million, nine hundred sixty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 619 648 729 864 972 1238 1296 1458 1857 1944 2187 2476 2592 2916 3714 3888 4374 4952 5571 5832 6561 7428 7776 8748 9904 11142 11664 13122 14856 16713 17496 19808 22284 23328 26244 29712 33426 34992 44568 50139 52488 59424 66852 69984 89136 100278 104976 133704 150417 178272 200556 209952 267408 300834 401112 451251 534816 601668 802224 902502 1203336 1353753 1604448 1805004 2406672 2707506 3610008 4061259 4813344 5415012 7220016 8122518 10830024 14440032 16245036 21660048 32490072 43320096 64980144 129960288