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128925216 = 2533721317
BaseRepresentation
bin1111010111100…
…11111000100000
322222121002011000
413223303320200
5231001101331
620443152000
73123563160
oct753637040
9288532130
10128925216
1166858472
1237215600
1320930514
14131a05a0
15b4ba0e6
hex7af3e20

128925216 has 96 divisors (see below), whose sum is σ = 429770880. Its totient is φ = 36834048.

The previous prime is 128925211. The next prime is 128925221. The reversal of 128925216 is 612529821.

128925216 is a `hidden beast` number, since 128 + 9 + 2 + 521 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (128925211) and next prime (128925221).

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

It is a super-4 number, since 4×1289252164 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (128925211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4611 + ... + 16706.

It is an arithmetic number, because the mean of its divisors is an integer number (4476780).

Almost surely, 2128925216 is an apocalyptic number.

128925216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

128925216 is an abundant number, since it is smaller than the sum of its proper divisors (300845664).

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

128925216 is a wasteful number, since it uses less digits than its factorization.

128925216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21343 (or 21329 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 128925216 is about 11354.5240322966. The cubic root of 128925216 is about 505.1797758786.

The spelling of 128925216 in words is "one hundred twenty-eight million, nine hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 21317 42634 63951 85268 127902 149219 170536 191853 255804 298438 341072 383706 447657 511608 575559 596876 682144 767412 895314 1023216 1151118 1193752 1342971 1534824 1790628 2046432 2302236 2387504 2685942 3069648 3581256 4028913 4604472 4775008 5371884 6139296 7162512 8057826 9208944 10743768 14325024 16115652 18417888 21487536 32231304 42975072 64462608 128925216