Search a number
-
+
2073888 = 253219379
BaseRepresentation
bin111111010010100100000
310220100211200
413322110200
51012331023
6112241200
723425215
oct7722440
93810750
102073888
111197163
12840200
13577c6b
143bdb0c
152ae743
hex1fa520

2073888 has 72 divisors (see below), whose sum is σ = 6224400. Its totient is φ = 653184.

The previous prime is 2073859. The next prime is 2073893. The reversal of 2073888 is 8883702.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×20738882 = 8602022873088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5283 + ... + 5661.

It is an arithmetic number, because the mean of its divisors is an integer number (86450).

22073888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2073888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112200).

2073888 is an abundant number, since it is smaller than the sum of its proper divisors (4150512).

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

2073888 is a wasteful number, since it uses less digits than its factorization.

2073888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2073888 is about 1440.0999965280. The cubic root of 2073888 is about 127.5249316873.

It can be divided in two parts, 207 and 3888, that added together give a triangular number (4095 = T90).

The spelling of 2073888 in words is "two million, seventy-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 379 456 608 684 758 912 1137 1368 1516 1824 2274 2736 3032 3411 4548 5472 6064 6822 7201 9096 12128 13644 14402 18192 21603 27288 28804 36384 43206 54576 57608 64809 86412 109152 115216 129618 172824 230432 259236 345648 518472 691296 1036944 2073888