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2072784 = 243731199
BaseRepresentation
bin111111010000011010000
310220022022210
413322003100
51012312114
6112232120
723422050
oct7720320
93808283
102072784
11119634a
1283b640
135775cc
143bd560
152ae259
hex1fa0d0

2072784 has 80 divisors (see below), whose sum is σ = 6348800. Its totient is φ = 570240.

The previous prime is 2072773. The next prime is 2072789. The reversal of 2072784 is 4872702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072789) 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, 10317 + ... + 10515.

It is an arithmetic number, because the mean of its divisors is an integer number (79360).

22072784 is an apocalyptic number.

2072784 is a gapful number since it is divisible by the number (24) 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 2072784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174400).

2072784 is an abundant number, since it is smaller than the sum of its proper divisors (4276016).

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

2072784 is a wasteful number, since it uses less digits than its factorization.

2072784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 2072784 is about 1439.7166387870. The cubic root of 2072784 is about 127.5022990743.

The spelling of 2072784 in words is "two million, seventy-two thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 199 217 248 336 372 398 434 496 597 651 744 796 868 1194 1302 1393 1488 1592 1736 2388 2604 2786 3184 3472 4179 4776 5208 5572 6169 8358 9552 10416 11144 12338 16716 18507 22288 24676 33432 37014 43183 49352 66864 74028 86366 98704 129549 148056 172732 259098 296112 345464 518196 690928 1036392 2072784