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2388000 = 25353199
BaseRepresentation
bin1001000111000000100000
311111022201110
421013000200
51102404000
6123103320
726204046
oct11070040
94438643
102388000
11139115a
12971b40
13657c24
14462396
15322850
hex247020

2388000 has 96 divisors (see below), whose sum is σ = 7862400. Its totient is φ = 633600.

The previous prime is 2387971. The next prime is 2388013. The reversal of 2388000 is 8832.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11901 + ... + 12099.

It is an arithmetic number, because the mean of its divisors is an integer number (81900).

22388000 is an apocalyptic number.

2388000 is a gapful number since it is divisible by the number (20) 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 2388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931200).

2388000 is an abundant number, since it is smaller than the sum of its proper divisors (5474400).

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

2388000 is a wasteful number, since it uses less digits than its factorization.

2388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2388000 is about 1545.3155017665. The cubic root of 2388000 is about 133.6630727560.

The spelling of 2388000 in words is "two million, three hundred eighty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 199 200 240 250 300 375 398 400 480 500 597 600 750 796 800 995 1000 1194 1200 1500 1592 1990 2000 2388 2400 2985 3000 3184 3980 4000 4776 4975 5970 6000 6368 7960 9552 9950 11940 12000 14925 15920 19104 19900 23880 24875 29850 31840 39800 47760 49750 59700 74625 79600 95520 99500 119400 149250 159200 199000 238800 298500 398000 477600 597000 796000 1194000 2388000