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1082264320 = 2851944501
BaseRepresentation
bin100000010000010…
…0000101100000000
32210102110201112201
41000200200230000
54204024424240
6255220402544
735551044364
oct10040405400
92712421481
101082264320
11505a01225
12262546454
131432b10b7
14a3a432a4
1565030d9a
hex40820b00

1082264320 has 72 divisors (see below), whose sum is σ = 2728862640. Its totient is φ = 410112000.

The previous prime is 1082264303. The next prime is 1082264329. The reversal of 1082264320 is 234622801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082264329) 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, 2070 + ... + 46570.

It is an arithmetic number, because the mean of its divisors is an integer number (37900870).

Almost surely, 21082264320 is an apocalyptic number.

1082264320 is a gapful number since it is divisible by the number (10) 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 1082264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364431320).

1082264320 is an abundant number, since it is smaller than the sum of its proper divisors (1646598320).

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

1082264320 is an equidigital number, since it uses as much as digits as its factorization.

1082264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44541 (or 44527 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1082264320 is about 32897.7859437379. The cubic root of 1082264320 is about 1026.7020920667.

The spelling of 1082264320 in words is "one billion, eighty-two million, two hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1520 2432 3040 4864 6080 12160 24320 44501 89002 178004 222505 356008 445010 712016 845519 890020 1424032 1691038 1780040 2848064 3382076 3560080 4227595 5696128 6764152 7120160 8455190 11392256 13528304 14240320 16910380 27056608 28480640 33820760 54113216 56961280 67641520 108226432 135283040 216452864 270566080 541132160 1082264320