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2046240 = 253257229
BaseRepresentation
bin111110011100100100000
310211221220200
413303210200
51010434430
6111505200
723251500
oct7634440
93757820
102046240
111178409
12828200
135684c1
143b3a00
152a6460
hex1f3920

2046240 has 216 divisors, whose sum is σ = 8402940. Its totient is φ = 451584.

The previous prime is 2046223. The next prime is 2046271. The reversal of 2046240 is 426402.

It can be written as a sum of positive squares in 2 ways, for example, as 2039184 + 7056 = 1428^2 + 84^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70546 + ... + 70574.

22046240 is an apocalyptic number.

2046240 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 2046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201470).

2046240 is an abundant number, since it is smaller than the sum of its proper divisors (6356700).

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

2046240 is a wasteful number, since it uses less digits than its factorization.

2046240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2046240 is about 1430.4684547378. The cubic root of 2046240 is about 126.9556957909.

It can be divided in two parts, 20462 and 40, that added together give a palindrome (20502).

The spelling of 2046240 in words is "two million, forty-six thousand, two hundred forty".