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61160000 = 265411139
BaseRepresentation
bin1110100101001…
…1101001000000
311021002020202012
43221103221000
5111124110000
610022512052
71341565016
oct351235100
9137066665
1061160000
1131583460
1218595628
13c894c65
1481a08b6
155581735
hex3a53a40

61160000 has 140 divisors (see below), whose sum is σ = 166634160. Its totient is φ = 22080000.

The previous prime is 61159991. The next prime is 61160017. The reversal of 61160000 is 6116.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 439931 + ... + 440069.

It is an arithmetic number, because the mean of its divisors is an integer number (1190244).

Almost surely, 261160000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83317080).

61160000 is an abundant number, since it is smaller than the sum of its proper divisors (105474160).

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

61160000 is a wasteful number, since it uses less digits than its factorization.

61160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 61160000 is about 7820.4859184069. The cubic root of 61160000 is about 393.9935924474.

Adding to 61160000 its reverse (6116), we get a palindrome (61166116).

Multiplying 61160000 by its reverse (6116), we get a square (374054560000 = 6116002).

61160000 divided by its reverse (6116) gives a 4-th power (10000 = 104).

It can be divided in two parts, 61 and 160000, that added together give a palindrome (160061).

The spelling of 61160000 in words is "sixty-one million, one hundred sixty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 139 160 176 200 220 250 275 278 320 352 400 440 500 550 556 625 695 704 800 880 1000 1100 1112 1250 1375 1390 1529 1600 1760 2000 2200 2224 2500 2750 2780 3058 3475 3520 4000 4400 4448 5000 5500 5560 6116 6875 6950 7645 8000 8800 8896 10000 11000 11120 12232 13750 13900 15290 17375 17600 20000 22000 22240 24464 27500 27800 30580 34750 38225 40000 44000 44480 48928 55000 55600 61160 69500 76450 86875 88000 97856 110000 111200 122320 139000 152900 173750 191125 220000 222400 244640 278000 305800 347500 382250 440000 489280 556000 611600 695000 764500 955625 1112000 1223200 1390000 1529000 1911250 2446400 2780000 3058000 3822500 5560000 6116000 7645000 12232000 15290000 30580000 61160000