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16661400 = 2335273967
BaseRepresentation
bin111111100011…
…101110011000
31011100111010220
4333203232120
513231131100
61353040040
7261422340
oct77435630
934314126
1016661400
11944aa58
1256b6020
1335b4922
1422d9d20
1516e1aa0
hexfe3b98

16661400 has 96 divisors (see below), whose sum is σ = 59043840. Its totient is φ = 3807360.

The previous prime is 16661369. The next prime is 16661401. The reversal of 16661400 is 416661.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16661401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2217 + ... + 6183.

It is an arithmetic number, because the mean of its divisors is an integer number (615040).

Almost surely, 216661400 is an apocalyptic number.

16661400 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 16661400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29521920).

16661400 is an abundant number, since it is smaller than the sum of its proper divisors (42382440).

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

16661400 is a wasteful number, since it uses less digits than its factorization.

16661400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 16661400 is about 4081.8378213741. The cubic root of 16661400 is about 255.4095686543.

The spelling of 16661400 in words is "sixteen million, six hundred sixty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 3967 4200 7934 11901 15868 19835 23802 27769 31736 39670 47604 55538 59505 79340 83307 95208 99175 111076 119010 138845 158680 166614 198350 222152 238020 277690 297525 333228 396700 416535 476040 555380 595050 666456 694225 793400 833070 1110760 1190100 1388450 1666140 2082675 2380200 2776900 3332280 4165350 5553800 8330700 16661400