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5955000 = 23354397
BaseRepresentation
bin10110101101110110111000
3102012112201120
4112231312320
53011030000
6331345240
7101421342
oct26556670
912175646
105955000
1133a8097
121bb2220
13130668c
14b10292
157c96a0
hex5addb8

5955000 has 80 divisors (see below), whose sum is σ = 18650280. Its totient is φ = 1584000.

The previous prime is 5954989. The next prime is 5955011. The reversal of 5955000 is 5595.

It is an interprime number because it is at equal distance from previous prime (5954989) and next prime (5955011).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14802 + ... + 15198.

Almost surely, 25955000 is an apocalyptic number.

5955000 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 5955000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9325140).

5955000 is an abundant number, since it is smaller than the sum of its proper divisors (12695280).

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

5955000 is a wasteful number, since it uses less digits than its factorization.

5955000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 5955000 is about 2440.2868683825. The cubic root of 5955000 is about 181.2566386788.

The spelling of 5955000 in words is "five million, nine hundred fifty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 397 500 600 625 750 794 1000 1191 1250 1500 1588 1875 1985 2382 2500 3000 3176 3750 3970 4764 5000 5955 7500 7940 9528 9925 11910 15000 15880 19850 23820 29775 39700 47640 49625 59550 79400 99250 119100 148875 198500 238200 248125 297750 397000 496250 595500 744375 992500 1191000 1488750 1985000 2977500 5955000