Search a number
-
+
129645720 = 233253111617
BaseRepresentation
bin1111011101000…
…11110010011000
3100000221200111100
413232203302120
5231142130340
620510431400
73132653601
oct756436230
9300850440
10129645720
11671aa826
1237502560
1320b23459
141330ada8
15b5ad830
hex7ba3c98

129645720 has 96 divisors (see below), whose sum is σ = 434977920. Its totient is φ = 33454080.

The previous prime is 129645713. The next prime is 129645727. The reversal of 129645720 is 27546921.

129645720 is a `hidden beast` number, since 1 + 2 + 9 + 645 + 7 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (129645713) and next prime (129645727).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129645727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5352 + ... + 16968.

It is an arithmetic number, because the mean of its divisors is an integer number (4531020).

Almost surely, 2129645720 is an apocalyptic number.

129645720 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 129645720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217488960).

129645720 is an abundant number, since it is smaller than the sum of its proper divisors (305332200).

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

129645720 is a wasteful number, since it uses less digits than its factorization.

129645720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11665 (or 11658 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 129645720 is about 11386.2074458531. The cubic root of 129645720 is about 506.1191010449.

The spelling of 129645720 in words is "one hundred twenty-nine million, six hundred forty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 11617 23234 34851 46468 58085 69702 92936 104553 116170 139404 174255 209106 232340 278808 348510 360127 418212 464680 522765 697020 720254 836424 1045530 1080381 1394040 1440508 1800635 2091060 2160762 2881016 3241143 3601270 4182120 4321524 5401905 6482286 7202540 8643048 10803810 12964572 14405080 16205715 21607620 25929144 32411430 43215240 64822860 129645720