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1055100240 = 243251786201
BaseRepresentation
bin111110111000111…
…000110101010000
32201112100122102200
4332320320311100
54130101201430
6252410243200
735101126665
oct7670706520
92645318380
101055100240
114a1638477
12255426500
1313a78cb8c
14a01b1a6c
1562967460
hex3ee38d50

1055100240 has 120 divisors (see below), whose sum is σ = 3751855848. Its totient is φ = 264806400.

The previous prime is 1055100239. The next prime is 1055100247. The reversal of 1055100240 is 420015501.

It can be written as a sum of positive squares in 4 ways, for example, as 49956624 + 1005143616 = 7068^2 + 31704^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×10551002402 = 2226473032896115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055100247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30861 + ... + 55340.

Almost surely, 21055100240 is an apocalyptic number.

1055100240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055100240 is an abundant number, since it is smaller than the sum of its proper divisors (2696755608).

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

1055100240 is a wasteful number, since it uses less digits than its factorization.

1055100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86237 (or 86228 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1055100240 is about 32482.3065683458. The cubic root of 1055100240 is about 1018.0393709773.

Adding to 1055100240 its reverse (420015501), we get a palindrome (1475115741).

The spelling of 1055100240 in words is "one billion, fifty-five million, one hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 86201 172402 258603 344804 431005 517206 689608 775809 862010 1034412 1293015 1379216 1465417 1551618 1724020 2068824 2586030 2930834 3103236 3448040 3879045 4137648 4396251 5172060 5861668 6206472 6896080 7327085 7758090 8792502 10344120 11723336 12412944 13188753 14654170 15516180 17585004 20688240 21981255 23446672 26377506 29308340 31032360 35170008 43962510 52755012 58616680 62064720 65943765 70340016 87925020 105510024 117233360 131887530 175850040 211020048 263775060 351700080 527550120 1055100240