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115009400 = 23521161857
BaseRepresentation
bin1101101101011…
…10011101111000
322000102002020102
412312232131320
5213420300100
615225014532
72564364242
oct666563570
9260362212
10115009400
1159a132a0
1232624448
131aa9a4cc
14113bb092
15a16bcd5
hex6dae778

115009400 has 96 divisors (see below), whose sum is σ = 296833680. Its totient is φ = 41088000.

The previous prime is 115009399. The next prime is 115009409. The reversal of 115009400 is 4900511.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115009409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133772 + ... + 134628.

Almost surely, 2115009400 is an apocalyptic number.

115009400 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 115009400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148416840).

115009400 is an abundant number, since it is smaller than the sum of its proper divisors (181824280).

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

115009400 is a wasteful number, since it uses less digits than its factorization.

115009400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 115009400 is about 10724.2435630677. The cubic root of 115009400 is about 486.3076625093.

Adding to 115009400 its reverse (4900511), we get a palindrome (119909911).

The spelling of 115009400 in words is "one hundred fifteen million, nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 61 88 100 110 122 200 220 244 275 305 440 488 550 610 671 857 1100 1220 1342 1525 1714 2200 2440 2684 3050 3355 3428 4285 5368 6100 6710 6856 8570 9427 12200 13420 16775 17140 18854 21425 26840 33550 34280 37708 42850 47135 52277 67100 75416 85700 94270 104554 134200 171400 188540 209108 235675 261385 377080 418216 471350 522770 575047 942700 1045540 1150094 1306925 1885400 2091080 2300188 2613850 2875235 4600376 5227700 5750470 10455400 11500940 14376175 23001880 28752350 57504700 115009400