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2020992 = 27319277
BaseRepresentation
bin111101101011010000000
310210200021120
413231122000
51004132432
6111152240
723115051
oct7553200
93720246
102020992
111160446
12815680
13559b6c
143a8728
1529dc2c
hex1ed680

2020992 has 64 divisors (see below), whose sum is σ = 5671200. Its totient is φ = 635904.

The previous prime is 2020979. The next prime is 2020999. The reversal of 2020992 is 2990202.

2020992 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2020999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7158 + ... + 7434.

22020992 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 2020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835600).

2020992 is an abundant number, since it is smaller than the sum of its proper divisors (3650208).

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

2020992 is a wasteful number, since it uses less digits than its factorization.

2020992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 2020992 is about 1421.6159819023. The cubic root of 2020992 is about 126.4313760703.

It can be divided in two parts, 20209 and 92, that added together give a triangular number (20301 = T201).

The spelling of 2020992 in words is "two million, twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 277 304 384 456 554 608 831 912 1108 1216 1662 1824 2216 2432 3324 3648 4432 5263 6648 7296 8864 10526 13296 15789 17728 21052 26592 31578 35456 42104 53184 63156 84208 106368 126312 168416 252624 336832 505248 673664 1010496 2020992