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2146440 = 233531577
BaseRepresentation
bin1000001100000010001000
311001001100210
420030002020
51022141230
6114001120
724146562
oct10140210
94031323
102146440
11123671a
128761a0
135a1caa
143dc332
152c5eb0
hex20c088

2146440 has 64 divisors (see below), whose sum is σ = 6658560. Its totient is φ = 552960.

The previous prime is 2146439. The next prime is 2146457. The reversal of 2146440 is 446412.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3432 + ... + 4008.

It is an arithmetic number, because the mean of its divisors is an integer number (104040).

22146440 is an apocalyptic number.

2146440 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 2146440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329280).

2146440 is an abundant number, since it is smaller than the sum of its proper divisors (4512120).

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

2146440 is a wasteful number, since it uses less digits than its factorization.

2146440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2146440 is about 1465.0733770020. The cubic root of 2146440 is about 128.9950121261.

The spelling of 2146440 in words is "two million, one hundred forty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 577 620 744 930 1154 1240 1731 1860 2308 2885 3462 3720 4616 5770 6924 8655 11540 13848 17310 17887 23080 34620 35774 53661 69240 71548 89435 107322 143096 178870 214644 268305 357740 429288 536610 715480 1073220 2146440