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1242452480 = 2951728549
BaseRepresentation
bin100101000001110…
…0101001000000000
310012120220010101112
41022003211020000
510021031434410
6323142022452
742534446303
oct11203451000
93176803345
101242452480
11588371a35
122a8117a28
1316a5393a9
14bb020b3a
1574124105
hex4a0e5200

1242452480 has 80 divisors (see below), whose sum is σ = 3154318200. Its totient is φ = 467730432.

The previous prime is 1242452461. The next prime is 1242452483. The reversal of 1242452480 is 842542421.

It can be written as a sum of positive squares in 4 ways, for example, as 972441856 + 270010624 = 31184^2 + 16432^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1242452483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29246 + ... + 57794.

Almost surely, 21242452480 is an apocalyptic number.

1242452480 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 1242452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577159100).

1242452480 is an abundant number, since it is smaller than the sum of its proper divisors (1911865720).

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

1242452480 is an equidigital number, since it uses as much as digits as its factorization.

1242452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28589 (or 28573 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 32.

The square root of 1242452480 is about 35248.4393980783. The cubic root of 1242452480 is about 1075.0448814865.

The spelling of 1242452480 in words is "one billion, two hundred forty-two million, four hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1088 1280 1360 2176 2560 2720 4352 5440 8704 10880 21760 28549 43520 57098 114196 142745 228392 285490 456784 485333 570980 913568 970666 1141960 1827136 1941332 2283920 2426665 3654272 3882664 4567840 4853330 7308544 7765328 9135680 9706660 14617088 15530656 18271360 19413320 31061312 36542720 38826640 62122624 73085440 77653280 124245248 155306560 248490496 310613120 621226240 1242452480