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2148390 = 233573109
BaseRepresentation
bin1000001100100000100110
311001011001000
420030200212
51022222030
6114014130
724155346
oct10144046
94034030
102148390
111238132
12877346
135a2b4a
143dcd26
152c6860
hex20c826

2148390 has 64 divisors (see below), whose sum is σ = 5860800. Its totient is φ = 559872.

The previous prime is 2148383. The next prime is 2148397. The reversal of 2148390 is 938412.

It is an interprime number because it is at equal distance from previous prime (2148383) and next prime (2148397).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19656 + ... + 19764.

It is an arithmetic number, because the mean of its divisors is an integer number (91575).

22148390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930400).

2148390 is an abundant number, since it is smaller than the sum of its proper divisors (3712410).

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

2148390 is a wasteful number, since it uses less digits than its factorization.

2148390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2148390 is about 1465.7387216008. The cubic root of 2148390 is about 129.0340634761.

The spelling of 2148390 in words is "two million, one hundred forty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 73 90 109 135 146 218 219 270 327 365 438 545 654 657 730 981 1090 1095 1314 1635 1962 1971 2190 2943 3270 3285 3942 4905 5886 6570 7957 9810 9855 14715 15914 19710 23871 29430 39785 47742 71613 79570 119355 143226 214839 238710 358065 429678 716130 1074195 2148390