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129988368 = 2433412179
BaseRepresentation
bin1111011111101…
…11011100010000
3100001121002112000
413233313130100
5231234111433
620522034000
73135611556
oct757673420
9301532460
10129988368
1167414204
1237648900
1320c133c3
1413399bd6
15b62a113
hex7bf7710

129988368 has 120 divisors (see below), whose sum is σ = 384573600. Its totient is φ = 42036480.

The previous prime is 129988361. The next prime is 129988379. The reversal of 129988368 is 863889921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (129988361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726103 + ... + 726281.

It is an arithmetic number, because the mean of its divisors is an integer number (3204780).

Almost surely, 2129988368 is an apocalyptic number.

129988368 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 129988368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192286800).

129988368 is an abundant number, since it is smaller than the sum of its proper divisors (254585232).

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

129988368 is a wasteful number, since it uses less digits than its factorization.

129988368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 225 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 129988368 is about 11401.2441426364. The cubic root of 129988368 is about 506.5645923951.

The spelling of 129988368 in words is "one hundred twenty-nine million, nine hundred eighty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 179 216 246 328 358 369 432 492 537 656 716 738 984 1074 1107 1432 1476 1611 1681 1968 2148 2214 2864 2952 3222 3362 4296 4428 4833 5043 5904 6444 6724 7339 8592 8856 9666 10086 12888 13448 14678 15129 17712 19332 20172 22017 25776 26896 29356 30258 38664 40344 44034 45387 58712 60516 66051 77328 80688 88068 90774 117424 121032 132102 176136 181548 198153 242064 264204 300899 352272 363096 396306 528408 601798 726192 792612 902697 1056816 1203596 1585224 1805394 2407192 2708091 3170448 3610788 4814384 5416182 7221576 8124273 10832364 14443152 16248546 21664728 32497092 43329456 64994184 129988368