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1055337400 = 235213231223
BaseRepresentation
bin111110111001110…
…010101110111000
32201112210200202101
4332321302232320
54130131244100
6252415313144
735103135265
oct7671625670
92645720671
101055337400
114a178a677
1225551b7b4
1313a843b00
14a023426c
15629b286a
hex3ee72bb8

1055337400 has 72 divisors (see below), whose sum is σ = 2657006280. Its totient is φ = 389650560.

The previous prime is 1055337391. The next prime is 1055337403. The reversal of 1055337400 is 47335501.

It is a super-2 number, since 2×10553374002 = 2227474055677520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055337403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18189 + ... + 49411.

It is an arithmetic number, because the mean of its divisors is an integer number (36902865).

Almost surely, 21055337400 is an apocalyptic number.

1055337400 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 1055337400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328503140).

1055337400 is an abundant number, since it is smaller than the sum of its proper divisors (1601668880).

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

1055337400 is a wasteful number, since it uses less digits than its factorization.

1055337400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31265 (or 31243 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 1055337400 is about 32485.9569660492. The cubic root of 1055337400 is about 1018.1156418125.

The spelling of 1055337400 in words is "one billion, fifty-five million, three hundred thirty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 1300 1352 1690 2600 3380 4225 6760 8450 16900 31223 33800 62446 124892 156115 249784 312230 405899 624460 780575 811798 1248920 1561150 1623596 2029495 3122300 3247192 4058990 5276687 6244600 8117980 10147475 10553374 16235960 20294950 21106748 26383435 40589900 42213496 52766870 81179800 105533740 131917175 211067480 263834350 527668700 1055337400