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1055342840 = 235199191511
BaseRepresentation
bin111110111001110…
…100000011111000
32201112210222012212
4332321310003320
54130131432330
6252415354252
735103160166
oct7671640370
92645728185
101055342840
114a1793772
12255522988
1313a846426
14a0236236
15629b4295
hex3ee740f8

1055342840 has 64 divisors (see below), whose sum is σ = 2503872000. Its totient is φ = 399219840.

The previous prime is 1055342807. The next prime is 1055342863. The reversal of 1055342840 is 482435501.

It is a super-2 number, since 2×10553428402 = 2227497019878531200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1055342797 and 1055342806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697685 + ... + 699195.

It is an arithmetic number, because the mean of its divisors is an integer number (39123000).

Almost surely, 21055342840 is an apocalyptic number.

1055342840 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 1055342840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251936000).

1055342840 is an abundant number, since it is smaller than the sum of its proper divisors (1448529160).

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

1055342840 is a wasteful number, since it uses less digits than its factorization.

1055342840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 1055342840 is about 32486.0406944275. The cubic root of 1055342840 is about 1018.1173911866.

The spelling of 1055342840 in words is "one billion, fifty-five million, three hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 919 1511 1838 3022 3676 4595 6044 7352 7555 9190 12088 15110 17461 18380 28709 30220 34922 36760 57418 60440 69844 87305 114836 139688 143545 174610 229672 287090 349220 574180 698440 1148360 1388609 2777218 5554436 6943045 11108872 13886090 26383571 27772180 52767142 55544360 105534284 131917855 211068568 263835710 527671420 1055342840