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1155540240 = 243252369779
BaseRepresentation
bin100010011100000…
…0010010100010000
32222112100112012200
41010320002110100
54331304241430
6310355123200
740430633661
oct10470022420
92875315180
101155540240
115432aa538
12282ba3500
13155528a2a
14ad679368
156b6a7460
hex44e02510

1155540240 has 120 divisors (see below), whose sum is σ = 4049472960. Its totient is φ = 294742272.

The previous prime is 1155540209. The next prime is 1155540241. The reversal of 1155540240 is 420455511.

1155540240 is a `hidden beast` number, since 115 + 5 + 540 + 2 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1155540241) 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, 18330 + ... + 51449.

It is an arithmetic number, because the mean of its divisors is an integer number (33745608).

Almost surely, 21155540240 is an apocalyptic number.

1155540240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1155540240 is an abundant number, since it is smaller than the sum of its proper divisors (2893932720).

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

1155540240 is a wasteful number, since it uses less digits than its factorization.

1155540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69821 (or 69812 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 1155540240 is about 33993.2381511382. The cubic root of 1155540240 is about 1049.3693083202.

Adding to 1155540240 its reverse (420455511), we get a palindrome (1575995751).

The spelling of 1155540240 in words is "one billion, one hundred fifty-five million, five hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 36 40 45 46 48 60 69 72 80 90 92 115 120 138 144 180 184 207 230 240 276 345 360 368 414 460 552 690 720 828 920 1035 1104 1380 1656 1840 2070 2760 3312 4140 5520 8280 16560 69779 139558 209337 279116 348895 418674 558232 628011 697790 837348 1046685 1116464 1256022 1395580 1604917 1674696 2093370 2512044 2791160 3140055 3209834 3349392 4186740 4814751 5024088 5582320 6280110 6419668 8024585 8373480 9629502 10048176 12560220 12839336 14444253 16049170 16746960 19259004 24073755 25120440 25678672 28888506 32098340 38518008 48147510 50240880 57777012 64196680 72221265 77036016 96295020 115554024 128393360 144442530 192590040 231108048 288885060 385180080 577770120 1155540240