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1055133440 = 2853722279
BaseRepresentation
bin111110111001000…
…000111100000000
32201112102022222022
4332321000330000
54130103232230
6252411101012
735101325534
oct7671007400
92645368868
101055133440
114a1660409
12255441768
1313a7a201a
14a01bdbc4
15629721e5
hex3ee40f00

1055133440 has 72 divisors (see below), whose sum is σ = 2595798240. Its totient is φ = 410628096.

The previous prime is 1055133439. The next prime is 1055133449. The reversal of 1055133440 is 443315501.

It is a super-2 number, since 2×10551334402 = 2226613152412467200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055133449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36221 + ... + 58499.

Almost surely, 21055133440 is an apocalyptic number.

1055133440 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 1055133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297899120).

1055133440 is an abundant number, since it is smaller than the sum of its proper divisors (1540664800).

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

1055133440 is an equidigital number, since it uses as much as digits as its factorization.

1055133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22337 (or 22323 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 1055133440 is about 32482.8176117775. The cubic root of 1055133440 is about 1018.0500488103.

Adding to 1055133440 its reverse (443315501), we get a palindrome (1498448941).

The spelling of 1055133440 in words is "one billion, fifty-five million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 592 640 740 1184 1280 1480 2368 2960 4736 5920 9472 11840 22279 23680 44558 47360 89116 111395 178232 222790 356464 445580 712928 824323 891160 1425856 1648646 1782320 2851712 3297292 3564640 4121615 5703424 6594584 7129280 8243230 13189168 14258560 16486460 26378336 28517120 32972920 52756672 65945840 105513344 131891680 211026688 263783360 527566720 1055133440