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5535000 = 23335441
BaseRepresentation
bin10101000111010100011000
3101102012121000
4111013110120
52404110000
6314345000
765022012
oct25072430
911365530
105535000
113140589
121a2b160
1311ba463
14a411b2
15745000
hex547518

5535000 has 160 divisors (see below), whose sum is σ = 19681200. Its totient is φ = 1440000.

The previous prime is 5534993. The next prime is 5535007. The reversal of 5535000 is 5355.

It is an interprime number because it is at equal distance from previous prime (5534993) and next prime (5535007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5535007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 134980 + ... + 135020.

Almost surely, 25535000 is an apocalyptic number.

5535000 is a gapful number since it is divisible by the number (50) 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 5535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9840600).

5535000 is an abundant number, since it is smaller than the sum of its proper divisors (14146200).

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

5535000 is a wasteful number, since it uses less digits than its factorization.

5535000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 5535000 is about 2352.6580712037. The cubic root of 5535000 is about 176.8910561991.

The spelling of 5535000 in words is "five million, five hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 41 45 50 54 60 72 75 82 90 100 108 120 123 125 135 150 164 180 200 205 216 225 246 250 270 300 328 360 369 375 410 450 492 500 540 600 615 625 675 738 750 820 900 984 1000 1025 1080 1107 1125 1230 1250 1350 1476 1500 1640 1800 1845 1875 2050 2214 2250 2460 2500 2700 2952 3000 3075 3375 3690 3750 4100 4428 4500 4920 5000 5125 5400 5535 5625 6150 6750 7380 7500 8200 8856 9000 9225 10250 11070 11250 12300 13500 14760 15000 15375 16875 18450 20500 22140 22500 24600 25625 27000 27675 30750 33750 36900 41000 44280 45000 46125 51250 55350 61500 67500 73800 76875 92250 102500 110700 123000 135000 138375 153750 184500 205000 221400 230625 276750 307500 369000 461250 553500 615000 691875 922500 1107000 1383750 1845000 2767500 5535000