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129800736 = 25321337937
BaseRepresentation
bin1111011110010…
…01101000100000
3100001020120010200
413233021220200
5231212110421
620514025200
73134200542
oct757115040
9301216120
10129800736
11672a623a
1237578200
1320b78b90
141334b692
15b5de726
hex7bc9a20

129800736 has 144 divisors (see below), whose sum is σ = 408694104. Its totient is φ = 38817792.

The previous prime is 129800717. The next prime is 129800747. The reversal of 129800736 is 637008921.

It can be written as a sum of positive squares in 4 ways, for example, as 83832336 + 45968400 = 9156^2 + 6780^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1298007362 = 33696462132283392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 129800736.

It is a congruent number.

It is an unprimeable number.

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, 138060 + ... + 138996.

Almost surely, 2129800736 is an apocalyptic number.

129800736 is a gapful number since it is divisible by the number (16) 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 129800736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204347052).

129800736 is an abundant number, since it is smaller than the sum of its proper divisors (278893368).

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

129800736 is a wasteful number, since it uses less digits than its factorization.

129800736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 129800736 is about 11393.0125954464. The cubic root of 129800736 is about 506.3207410976.

The spelling of 129800736 in words is "one hundred twenty-nine million, eight hundred thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 37 39 48 52 72 74 78 96 104 111 117 144 148 156 208 222 234 288 296 312 333 416 444 468 481 592 624 666 888 936 937 962 1184 1248 1332 1443 1776 1872 1874 1924 2664 2811 2886 3552 3744 3748 3848 4329 5328 5622 5772 7496 7696 8433 8658 10656 11244 11544 12181 14992 15392 16866 17316 22488 23088 24362 29984 33732 34632 34669 36543 44976 46176 48724 67464 69264 69338 73086 89952 97448 104007 109629 134928 138528 138676 146172 194896 208014 219258 269856 277352 292344 312021 389792 416028 438516 450697 554704 584688 624042 832056 877032 901394 1109408 1169376 1248084 1352091 1664112 1754064 1802788 2496168 2704182 3328224 3508128 3605576 4056273 4992336 5408364 7211152 8112546 9984672 10816728 14422304 16225092 21633456 32450184 43266912 64900368 129800736