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2046816 = 253323103
BaseRepresentation
bin111110011101101100000
310211222201000
413303231200
51010444231
6111512000
723253252
oct7635540
93758630
102046816
111178892
12828600
13568845
143b3cd2
152a66e6
hex1f3b60

2046816 has 96 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 646272.

The previous prime is 2046799. The next prime is 2046823. The reversal of 2046816 is 6186402.

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 (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2046816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19821 + ... + 19923.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

22046816 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 2046816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2046816 is an abundant number, since it is smaller than the sum of its proper divisors (4243104).

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

2046816 is a wasteful number, since it uses less digits than its factorization.

2046816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2046816 is about 1430.6697732181. The cubic root of 2046816 is about 126.9676070070.

The spelling of 2046816 in words is "two million, forty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 103 108 138 144 184 206 207 216 276 288 309 368 412 414 432 552 618 621 736 824 828 864 927 1104 1236 1242 1648 1656 1854 2208 2369 2472 2484 2781 3296 3312 3708 4738 4944 4968 5562 6624 7107 7416 9476 9888 9936 11124 14214 14832 18952 19872 21321 22248 28428 29664 37904 42642 44496 56856 63963 75808 85284 88992 113712 127926 170568 227424 255852 341136 511704 682272 1023408 2046816