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1082365920 = 25325751643
BaseRepresentation
bin100000010000011…
…1001011111100000
32210102122212220200
41000200321133200
54204041202140
6255222505200
735551646526
oct10040713740
92712585820
101082365920
11505a70599
12262595200
1314331840c
14a3a6c316
1565051030
hex408397e0

1082365920 has 72 divisors (see below), whose sum is σ = 3693578616. Its totient is φ = 288630528.

The previous prime is 1082365919. The next prime is 1082365931. The reversal of 1082365920 is 295632801.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 374382 + ... + 377261.

It is an arithmetic number, because the mean of its divisors is an integer number (51299703).

Almost surely, 21082365920 is an apocalyptic number.

1082365920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1082365920 is an abundant number, since it is smaller than the sum of its proper divisors (2611212696).

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

1082365920 is a wasteful number, since it uses less digits than its factorization.

1082365920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751664 (or 751653 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1082365920 is about 32899.3300843649. The cubic root of 1082365920 is about 1026.7342190517.

The spelling of 1082365920 in words is "one billion, eighty-two million, three hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 751643 1503286 2254929 3006572 3758215 4509858 6013144 6764787 7516430 9019716 11274645 12026288 13529574 15032860 18039432 22549290 24052576 27059148 30065720 33823935 36078864 45098580 54118296 60131440 67647870 72157728 90197160 108236592 120262880 135295740 180394320 216473184 270591480 360788640 541182960 1082365920