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1242043400 = 235213607787
BaseRepresentation
bin100101000001000…
…0001010000001000
310012120010100020102
41022002001100020
510020430342100
6323125144532
742531123533
oct11202012010
93176110212
101242043400
11588112654
122a7b5b148
1316a425130
14bad55a1a
1574092cd5
hex4a081408

1242043400 has 96 divisors (see below), whose sum is σ = 3118967040. Its totient is φ = 457263360.

The previous prime is 1242043391. The next prime is 1242043421. The reversal of 1242043400 is 43402421.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1577807 + ... + 1578593.

It is an arithmetic number, because the mean of its divisors is an integer number (32489240).

Almost surely, 21242043400 is an apocalyptic number.

1242043400 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 1242043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559483520).

1242043400 is an abundant number, since it is smaller than the sum of its proper divisors (1876923640).

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

1242043400 is a wasteful number, since it uses less digits than its factorization.

1242043400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1414 counting only the distinct ones).

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

The square root of 1242043400 is about 35242.6361102571. The cubic root of 1242043400 is about 1074.9268816322.

Adding to 1242043400 its reverse (43402421), we get a palindrome (1285445821).

The spelling of 1242043400 in words is "one billion, two hundred forty-two million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 607 650 787 1214 1300 1574 2428 2600 3035 3148 3935 4856 6070 6296 7870 7891 10231 12140 15175 15740 15782 19675 20462 24280 30350 31480 31564 39350 39455 40924 51155 60700 63128 78700 78910 81848 102310 121400 157400 157820 197275 204620 255775 315640 394550 409240 477709 511550 789100 955418 1023100 1578200 1910836 2046200 2388545 3821672 4777090 6210217 9554180 11942725 12420434 19108360 23885450 24840868 31051085 47770900 49681736 62102170 95541800 124204340 155255425 248408680 310510850 621021700 1242043400