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128921700 = 223521133803
BaseRepresentation
bin1111010111100…
…11000001100100
322222120220022210
413223303001210
5231000443300
620443123420
73123550005
oct753630144
9288526283
10128921700
1166855866
1237213570
132092ba3b
141319d1ac
15b4b9050
hex7af3064

128921700 has 72 divisors (see below), whose sum is σ = 376413408. Its totient is φ = 34065920.

The previous prime is 128921687. The next prime is 128921711. The reversal of 128921700 is 7129821.

128921700 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31999 + ... + 35801.

It is an arithmetic number, because the mean of its divisors is an integer number (5227964).

Almost surely, 2128921700 is an apocalyptic number.

128921700 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 128921700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188206704).

128921700 is an abundant number, since it is smaller than the sum of its proper divisors (247491708).

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

128921700 is a wasteful number, since it uses less digits than its factorization.

128921700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3933 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 128921700 is about 11354.3692030865. The cubic root of 128921700 is about 505.1751834793.

The spelling of 128921700 in words is "one hundred twenty-eight million, nine hundred twenty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 113 150 226 300 339 452 565 678 1130 1356 1695 2260 2825 3390 3803 5650 6780 7606 8475 11300 11409 15212 16950 19015 22818 33900 38030 45636 57045 76060 95075 114090 190150 228180 285225 380300 429739 570450 859478 1140900 1289217 1718956 2148695 2578434 4297390 5156868 6446085 8594780 10743475 12892170 21486950 25784340 32230425 42973900 64460850 128921700