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129889152 = 2732137823
BaseRepresentation
bin1111011110111…
…11001110000000
3100001102001102100
413233133032000
5231222423102
620515550400
73135016401
oct757371600
9301361370
10129889152
1167356708
12375bb400
1320baa1b3
14133719a8
15b60aa1c
hex7bdf380

129889152 has 96 divisors (see below), whose sum is σ = 376955280. Its totient is φ = 42928128.

The previous prime is 129889147. The next prime is 129889157. The reversal of 129889152 is 251988921.

It is an interprime number because it is at equal distance from previous prime (129889147) and next prime (129889157).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 129889098 and 129889107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129889157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157413 + ... + 158235.

Almost surely, 2129889152 is an apocalyptic number.

129889152 is a gapful number since it is divisible by the number (12) 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 129889152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188477640).

129889152 is an abundant number, since it is smaller than the sum of its proper divisors (247066128).

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

129889152 is a wasteful number, since it uses less digits than its factorization.

129889152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 965 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 129889152 is about 11396.8922079662. The cubic root of 129889152 is about 506.4356780265.

The spelling of 129889152 in words is "one hundred twenty-nine million, eight hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 274 288 384 411 548 576 822 823 1096 1152 1233 1644 1646 2192 2466 2469 3288 3292 4384 4932 4938 6576 6584 7407 8768 9864 9876 13152 13168 14814 17536 19728 19752 26304 26336 29628 39456 39504 52608 52672 59256 78912 79008 105344 112751 118512 157824 158016 225502 237024 316032 338253 451004 474048 676506 902008 948096 1014759 1353012 1804016 2029518 2706024 3608032 4059036 5412048 7216064 8118072 10824096 14432128 16236144 21648192 32472288 43296384 64944576 129889152