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142126656 = 2637215107
BaseRepresentation
bin10000111100010…
…10111001000000
3100220102210010020
420132022321000
5242341023111
622034133440
73344025300
oct1036127100
9326383106
10142126656
1173254951
123b721280
13235a3319
1414c39600
15c726906
hex878ae40

142126656 has 84 divisors (see below), whose sum is σ = 437467248. Its totient is φ = 40604928.

The previous prime is 142126639. The next prime is 142126687. The reversal of 142126656 is 656621241.

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1855 + ... + 16961.

Almost surely, 2142126656 is an apocalyptic number.

142126656 is a gapful number since it is divisible by the number (16) 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 142126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218733624).

142126656 is an abundant number, since it is smaller than the sum of its proper divisors (295340592).

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

142126656 is a wasteful number, since it uses less digits than its factorization.

142126656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15136 (or 15119 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 142126656 is about 11921.6884710179. The cubic root of 142126656 is about 521.8654106118.

Adding to 142126656 its reverse (656621241), we get a palindrome (798747897).

The spelling of 142126656 in words is "one hundred forty-two million, one hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 15107 30214 45321 60428 90642 105749 120856 181284 211498 241712 317247 362568 422996 483424 634494 725136 740243 845992 966848 1268988 1450272 1480486 1691984 2220729 2537976 2900544 2960972 3383968 4441458 5075952 5921944 6767936 8882916 10151904 11843888 17765832 20303808 23687776 35531664 47375552 71063328 142126656