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1242232400 = 245229107089
BaseRepresentation
bin100101000001010…
…1111011001010000
310012120110221111102
41022002233121100
510021002414100
6323133203532
742532541543
oct11202573120
93176427442
101242232400
11588231652
122a80305a8
1316a490176
14bada485a
15740cdcd5
hex4a0af650

1242232400 has 60 divisors (see below), whose sum is σ = 3087404700. Its totient is φ = 479754240.

The previous prime is 1242232399. The next prime is 1242232417. The reversal of 1242232400 is 42322421.

It can be written as a sum of positive squares in 6 ways, for example, as 157452304 + 1084780096 = 12548^2 + 32936^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 41945 + ... + 65144.

It is an arithmetic number, because the mean of its divisors is an integer number (51456745).

Almost surely, 21242232400 is an apocalyptic number.

1242232400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242232400 is an abundant number, since it is smaller than the sum of its proper divisors (1845172300).

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

1242232400 is a wasteful number, since it uses less digits than its factorization.

1242232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107136 (or 107125 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1242232400 is about 35245.3174194814. The cubic root of 1242232400 is about 1074.9814022382.

Adding to 1242232400 its reverse (42322421), we get a palindrome (1284554821).

The spelling of 1242232400 in words is "one billion, two hundred forty-two million, two hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 107089 214178 428356 535445 856712 1070890 1713424 2141780 2677225 3105581 4283560 5354450 6211162 8567120 10708900 12422324 15527905 21417800 24844648 31055810 42835600 49689296 62111620 77639525 124223240 155279050 248446480 310558100 621116200 1242232400