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1930896 = 2432112353
BaseRepresentation
bin111010111011010010000
310122002200200
413113122100
5443242041
6105215200
722261302
oct7273220
93562620
101930896
1110a9790
12791500
13527b56
14383972
152821b6
hex1d7690

1930896 has 120 divisors (see below), whose sum is σ = 6267456. Its totient is φ = 549120.

The previous prime is 1930883. The next prime is 1930927. The reversal of 1930896 is 6980391.

1930896 = T243 + T244 + ... + T295.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1930896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36406 + ... + 36458.

21930896 is an apocalyptic number.

1930896 is a gapful number since it is divisible by the number (16) 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 1930896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133728).

1930896 is an abundant number, since it is smaller than the sum of its proper divisors (4336560).

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

1930896 is a wasteful number, since it uses less digits than its factorization.

1930896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1930896 is about 1389.5668389826. The cubic root of 1930896 is about 124.5239708042.

The spelling of 1930896 in words is "one million, nine hundred thirty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 33 36 44 46 48 53 66 69 72 88 92 99 106 132 138 144 159 176 184 198 207 212 253 264 276 318 368 396 414 424 477 506 528 552 583 636 759 792 828 848 954 1012 1104 1166 1219 1272 1518 1584 1656 1749 1908 2024 2277 2332 2438 2544 3036 3312 3498 3657 3816 4048 4554 4664 4876 5247 6072 6996 7314 7632 9108 9328 9752 10494 10971 12144 13409 13992 14628 18216 19504 20988 21942 26818 27984 29256 36432 40227 41976 43884 53636 58512 80454 83952 87768 107272 120681 160908 175536 214544 241362 321816 482724 643632 965448 1930896