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142638720 = 2735710613
BaseRepresentation
bin10001000000001…
…11111010000000
3100221101210112120
420200013322000
5243003414340
622053124240
73351260220
oct1040077200
9327353476
10142638720
1173574644
123b929680
1323722413
1414d30080
15c7c84d0
hex8807e80

142638720 has 128 divisors (see below), whose sum is σ = 519661440. Its totient is φ = 32600064.

The previous prime is 142638703. The next prime is 142638731. The reversal of 142638720 is 27836241.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8134 + ... + 18746.

It is an arithmetic number, because the mean of its divisors is an integer number (4059855).

Almost surely, 2142638720 is an apocalyptic number.

142638720 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 142638720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259830720).

142638720 is an abundant number, since it is smaller than the sum of its proper divisors (377022720).

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

142638720 is a wasteful number, since it uses less digits than its factorization.

142638720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10642 (or 10630 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 142638720 is about 11943.1453143634. The cubic root of 142638720 is about 522.4913973386.

The spelling of 142638720 in words is "one hundred forty-two million, six hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 10613 13440 21226 31839 42452 53065 63678 74291 84904 106130 127356 148582 159195 169808 212260 222873 254712 297164 318390 339616 371455 424520 445746 509424 594328 636780 679232 742910 849040 891492 1018848 1114365 1188656 1273560 1358464 1485820 1698080 1782984 2037696 2228730 2377312 2547120 2971640 3396160 3565968 4075392 4457460 4754624 5094240 5943280 6792320 7131936 8914920 9509248 10188480 11886560 14263872 17829840 20376960 23773120 28527744 35659680 47546240 71319360 142638720