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1055656500 = 223536011171
BaseRepresentation
bin111110111011000…
…000101000110100
32201120101220110220
4332323000220310
54130222002000
6252430214340
735105634513
oct7673005064
92646356426
101055656500
114a1988398
122556543b0
1313a926122
14a02b867a
1562a271a0
hex3eec0a34

1055656500 has 96 divisors (see below), whose sum is σ = 3081816192. Its totient is φ = 280800000.

The previous prime is 1055656451. The next prime is 1055656513. The reversal of 1055656500 is 56565501.

1055656500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10556565002 = 2228821291984500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 900915 + ... + 902085.

It is an arithmetic number, because the mean of its divisors is an integer number (32102252).

Almost surely, 21055656500 is an apocalyptic number.

1055656500 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 1055656500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540908096).

1055656500 is an abundant number, since it is smaller than the sum of its proper divisors (2026159692).

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

1055656500 is a wasteful number, since it uses less digits than its factorization.

1055656500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The square root of 1055656500 is about 32490.8679477788. The cubic root of 1055656500 is about 1018.2182465853.

Subtracting from 1055656500 its reverse (56565501), we obtain a palindrome (999090999).

The spelling of 1055656500 in words is "one billion, fifty-five million, six hundred fifty-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 601 750 1171 1202 1500 1803 2342 2404 3005 3513 3606 4684 5855 6010 7026 7212 9015 11710 12020 14052 15025 17565 18030 23420 29275 30050 35130 36060 45075 58550 60100 70260 75125 87825 90150 117100 146375 150250 175650 180300 225375 292750 300500 351300 439125 450750 585500 703771 878250 901500 1407542 1756500 2111313 2815084 3518855 4222626 7037710 8445252 10556565 14075420 17594275 21113130 35188550 42226260 52782825 70377100 87971375 105565650 175942750 211131300 263914125 351885500 527828250 1055656500