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1081901440 = 2754141231
BaseRepresentation
bin100000001111100…
…1000000110000000
32210101210021202201
41000133020012000
54203431321230
6255204522544
735545003414
oct10037100600
92711707681
101081901440
11505783624
122623b0454
131431b4b89
14a398ad44
1564ead5ca
hex407c8180

1081901440 has 64 divisors (see below), whose sum is σ = 2649568320. Its totient is φ = 422195200.

The previous prime is 1081901419. The next prime is 1081901441. The reversal of 1081901440 is 441091801.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1081901399 and 1081901408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1081901441) 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, 5625 + ... + 46855.

It is an arithmetic number, because the mean of its divisors is an integer number (41399505).

Almost surely, 21081901440 is an apocalyptic number.

1081901440 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 1081901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324784160).

1081901440 is an abundant number, since it is smaller than the sum of its proper divisors (1567666880).

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

1081901440 is an equidigital number, since it uses as much as digits as its factorization.

1081901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41291 (or 41279 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1081901440 is about 32892.2702165722. The cubic root of 1081901440 is about 1026.5873291890.

The spelling of 1081901440 in words is "one billion, eighty-one million, nine hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 320 328 410 640 656 820 1312 1640 2624 3280 5248 6560 13120 26240 41231 82462 164924 206155 329848 412310 659696 824620 1319392 1649240 1690471 2638784 3298480 3380942 5277568 6596960 6761884 8452355 13193920 13523768 16904710 26387840 27047536 33809420 54095072 67618840 108190144 135237680 216380288 270475360 540950720 1081901440