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1039968 = 253223157
BaseRepresentation
bin11111101111001100000
31221211120100
43331321200
5231234333
634142400
711560656
oct3757140
91854510
101039968
11650386
12421a00
132a5487
141d0dd6
15158213
hexfde60

1039968 has 72 divisors (see below), whose sum is σ = 3105648. Its totient is φ = 329472.

The previous prime is 1039949. The next prime is 1039979. The reversal of 1039968 is 8699301.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6546 + ... + 6702.

It is an arithmetic number, because the mean of its divisors is an integer number (43134).

21039968 is an apocalyptic number.

1039968 is a gapful number since it is divisible by the number (18) 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 1039968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552824).

1039968 is an abundant number, since it is smaller than the sum of its proper divisors (2065680).

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

1039968 is a wasteful number, since it uses less digits than its factorization.

1039968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 185 counting only the distinct ones).

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

The square root of 1039968 is about 1019.7882133071. The cubic root of 1039968 is about 101.3149012335.

The spelling of 1039968 in words is "one million, thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 157 184 207 276 288 314 368 414 471 552 628 736 828 942 1104 1256 1413 1656 1884 2208 2512 2826 3312 3611 3768 5024 5652 6624 7222 7536 10833 11304 14444 15072 21666 22608 28888 32499 43332 45216 57776 64998 86664 115552 129996 173328 259992 346656 519984 1039968