Search a number
-
+
10423445200 = 245274498291
BaseRepresentation
bin10011011010100100…
…10010011011010000
3222220102112212201221
421231102102123100
5132321400221300
64442150334424
7516205552030
oct115522223320
928812485657
1010423445200
114469843723
12202a95a414
13ca164a36c
1470c4ab8c0
1541015331a
hex26d4926d0

10423445200 has 120 divisors (see below), whose sum is σ = 28687003200. Its totient is φ = 3565363200.

The previous prime is 10423445183. The next prime is 10423445213. The reversal of 10423445200 is 254432401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 1253055 + ... + 1261345.

It is an arithmetic number, because the mean of its divisors is an integer number (239058360).

Almost surely, 210423445200 is an apocalyptic number.

10423445200 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 10423445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14343501600).

10423445200 is an abundant number, since it is smaller than the sum of its proper divisors (18263558000).

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

10423445200 is a wasteful number, since it uses less digits than its factorization.

10423445200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8765 (or 8754 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 10423445200 its reverse (254432401), we get a palindrome (10677877601).

The spelling of 10423445200 in words is "ten billion, four hundred twenty-three million, four hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 449 560 700 898 1400 1796 2245 2800 3143 3592 4490 6286 7184 8291 8980 11225 12572 15715 16582 17960 22450 25144 31430 33164 35920 41455 44900 50288 58037 62860 66328 78575 82910 89800 116074 125720 132656 157150 165820 179600 207275 232148 251440 290185 314300 331640 414550 464296 580370 628600 663280 829100 928592 1160740 1257200 1450925 1658200 2321480 2901850 3316400 3722659 4642960 5803700 7445318 11607400 14890636 18613295 23214800 26058613 29781272 37226590 52117226 59562544 74453180 93066475 104234452 130293065 148906360 186132950 208468904 260586130 297812720 372265900 416937808 521172260 651465325 744531800 1042344520 1302930650 1489063600 2084689040 2605861300 5211722600 10423445200