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2070816 = 253113753
BaseRepresentation
bin111111001100100100000
310220012121220
413321210200
51012231231
6112215040
723413236
oct7714440
93805556
102070816
111194920
1283a480
13576747
143bc956
152ad896
hex1f9920

2070816 has 96 divisors (see below), whose sum is σ = 6205248. Its totient is φ = 599040.

The previous prime is 2070811. The next prime is 2070823. The reversal of 2070816 is 6180702.

It is a tau number, because it is divible by the number of its divisors (96).

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 (2070811) 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, 39046 + ... + 39098.

It is an arithmetic number, because the mean of its divisors is an integer number (64638).

22070816 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 2070816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102624).

2070816 is an abundant number, since it is smaller than the sum of its proper divisors (4134432).

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

2070816 is a wasteful number, since it uses less digits than its factorization.

2070816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 2070816 is about 1439.0330086555. The cubic root of 2070816 is about 127.4619340419.

The spelling of 2070816 in words is "two million, seventy thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 53 66 74 88 96 106 111 132 148 159 176 212 222 264 296 318 352 407 424 444 528 583 592 636 814 848 888 1056 1166 1184 1221 1272 1628 1696 1749 1776 1961 2332 2442 2544 3256 3498 3552 3922 4664 4884 5088 5883 6512 6996 7844 9328 9768 11766 13024 13992 15688 18656 19536 21571 23532 27984 31376 39072 43142 47064 55968 62752 64713 86284 94128 129426 172568 188256 258852 345136 517704 690272 1035408 2070816