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1332288540 = 2233511224291
BaseRepresentation
bin100111101101001…
…0001110000011100
310102211221021022000
41033122101300130
510212031213130
6340111322300
745005160102
oct11732216034
93384837260
101332288540
11624051110
12312220390
1318303181b
14c8d27c72
157be6c260
hex4f691c1c

1332288540 has 96 divisors (see below), whose sum is σ = 4521726720. Its totient is φ = 322977600.

The previous prime is 1332288523. The next prime is 1332288541. The reversal of 1332288540 is 458822331.

1332288540 is a `hidden beast` number, since 1 + 3 + 32 + 2 + 88 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1332288495 and 1332288504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332288541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106206 + ... + 118085.

It is an arithmetic number, because the mean of its divisors is an integer number (47101320).

Almost surely, 21332288540 is an apocalyptic number.

1332288540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332288540 is an abundant number, since it is smaller than the sum of its proper divisors (3189438180).

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

1332288540 is a wasteful number, since it uses less digits than its factorization.

1332288540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224320 (or 224312 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1332288540 is about 36500.5279413874. The cubic root of 1332288540 is about 1100.3548552099.

The spelling of 1332288540 in words is "one billion, three hundred thirty-two million, two hundred eighty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 224291 448582 672873 897164 1121455 1345746 2018619 2242910 2467201 2691492 3364365 4037238 4485820 4934402 6055857 6728730 7401603 8074476 9868804 10093095 12111714 12336005 13457460 14803206 20186190 22204809 24223428 24672010 29606412 30279285 37008015 40372380 44409618 49344020 60558570 66614427 74016030 88819236 111024045 121117140 133228854 148032060 222048090 266457708 333072135 444096180 666144270 1332288540