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2031288 = 2337107113
BaseRepresentation
bin111101111111010111000
310211012101220
413233322320
51010000123
6111312040
723160060
oct7577270
93735356
102031288
111168156
1281b620
1356175c
143ac3a0
152a1ce3
hex1efeb8

2031288 has 64 divisors (see below), whose sum is σ = 5909760. Its totient is φ = 569856.

The previous prime is 2031287. The next prime is 2031301. The reversal of 2031288 is 8821302.

It is a super-2 number, since 2×20312882 = 8252261877888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17920 + ... + 18032.

It is an arithmetic number, because the mean of its divisors is an integer number (92340).

22031288 is an apocalyptic number.

2031288 is a gapful number since it is divisible by the number (28) 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 2031288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954880).

2031288 is an abundant number, since it is smaller than the sum of its proper divisors (3878472).

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

2031288 is a wasteful number, since it uses less digits than its factorization.

2031288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2031288 is about 1425.2326125935. The cubic root of 2031288 is about 126.6457152174.

The spelling of 2031288 in words is "two million, thirty-one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 113 168 214 226 321 339 428 452 642 678 749 791 856 904 1284 1356 1498 1582 2247 2373 2568 2712 2996 3164 4494 4746 5992 6328 8988 9492 12091 17976 18984 24182 36273 48364 72546 84637 96728 145092 169274 253911 290184 338548 507822 677096 1015644 2031288