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1978368 = 2123723
BaseRepresentation
bin111100011000000000000
310201111210220
413203000000
51001301433
6110223040
722546560
oct7430000
93644726
101978368
111131417
127b4a80
13543642
14396da0
152912b3
hex1e3000

1978368 has 104 divisors (see below), whose sum is σ = 6290688. Its totient is φ = 540672.

The previous prime is 1978363. The next prime is 1978393. The reversal of 1978368 is 8638791.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 8.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (1978363) 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, 86005 + ... + 86027.

21978368 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 1978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145344).

1978368 is an abundant number, since it is smaller than the sum of its proper divisors (4312320).

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

1978368 is an equidigital number, since it uses as much as digits as its factorization.

1978368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 35 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 1978368 is about 1406.5447024535. The cubic root of 1978368 is about 125.5362138420.

It can be divided in two parts, 1978 and 368, that added together give a triangular number (2346 = T68).

The spelling of 1978368 in words is "one million, nine hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 512 552 644 672 736 768 896 966 1024 1104 1288 1344 1472 1536 1792 1932 2048 2208 2576 2688 2944 3072 3584 3864 4096 4416 5152 5376 5888 6144 7168 7728 8832 10304 10752 11776 12288 14336 15456 17664 20608 21504 23552 28672 30912 35328 41216 43008 47104 61824 70656 82432 86016 94208 123648 141312 164864 247296 282624 329728 494592 659456 989184 1978368