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2146240 = 26519353
BaseRepresentation
bin1000001011111111000000
311001001002101
420023333000
51022134430
6114000144
724146155
oct10137700
94031071
102146240
111236558
12876054
135a1b85
143dc22c
152c5dca
hex20bfc0

2146240 has 56 divisors (see below), whose sum is σ = 5394960. Its totient is φ = 811008.

The previous prime is 2146231. The next prime is 2146247. The reversal of 2146240 is 426412.

2146240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21462402 = 9212692275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5904 + ... + 6256.

22146240 is an apocalyptic number.

2146240 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 2146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697480).

2146240 is an abundant number, since it is smaller than the sum of its proper divisors (3248720).

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

2146240 is a wasteful number, since it uses less digits than its factorization.

2146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2146240 is about 1465.0051194450. The cubic root of 2146240 is about 128.9910055223.

The spelling of 2146240 in words is "two million, one hundred forty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 353 380 608 706 760 1216 1412 1520 1765 2824 3040 3530 5648 6080 6707 7060 11296 13414 14120 22592 26828 28240 33535 53656 56480 67070 107312 112960 134140 214624 268280 429248 536560 1073120 2146240