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142606410 = 23561149523
BaseRepresentation
bin10001000000000…
…00000001001010
3100221100011012220
420200000001022
5243001401120
622052314510
73351064062
oct1040000112
9327304186
10142606410
1173552341
123b912a36
13237107bb
1414d223a2
15c7bdb40
hex880004a

142606410 has 64 divisors (see below), whose sum is σ = 350870400. Its totient is φ = 37082880.

The previous prime is 142606379. The next prime is 142606459. The reversal of 142606410 is 14606241.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272409 + ... + 272931.

It is an arithmetic number, because the mean of its divisors is an integer number (5482350).

Almost surely, 2142606410 is an apocalyptic number.

142606410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142606410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175435200).

142606410 is an abundant number, since it is smaller than the sum of its proper divisors (208263990).

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

142606410 is a wasteful number, since it uses less digits than its factorization.

142606410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 142606410 is about 11941.7925790059. The cubic root of 142606410 is about 522.4519434141.

The spelling of 142606410 in words is "one hundred forty-two million, six hundred six thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 149 183 298 305 366 447 523 610 745 894 915 1046 1490 1569 1830 2235 2615 3138 4470 5230 7845 9089 15690 18178 27267 31903 45445 54534 63806 77927 90890 95709 136335 155854 159515 191418 233781 272670 319030 389635 467562 478545 779270 957090 1168905 2337810 4753547 9507094 14260641 23767735 28521282 47535470 71303205 142606410