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142072704 = 273471193
BaseRepresentation
bin10000111011111…
…01101110000000
3100220100001010000
420131331232000
5242332311304
622033040000
73343412064
oct1035755600
9326301100
10142072704
1173218364
123b6b6000
13235848b7
1414c23aa4
15c715939
hex877db80

142072704 has 160 divisors (see below), whose sum is σ = 430982640. Its totient is φ = 46448640.

The previous prime is 142072687. The next prime is 142072739. The reversal of 142072704 is 407270241.

It is a happy number.

142072704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 736032 + ... + 736224.

Almost surely, 2142072704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142072704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215491320).

142072704 is an abundant number, since it is smaller than the sum of its proper divisors (288909936).

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

142072704 is an equidigital number, since it uses as much as digits as its factorization.

142072704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 142072704 is about 11919.4254895108. The cubic root of 142072704 is about 521.7993680015.

The spelling of 142072704 in words is "one hundred forty-two million, seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 81 96 108 128 142 144 162 192 193 213 216 284 288 324 384 386 426 432 568 576 579 639 648 772 852 864 1136 1152 1158 1278 1296 1544 1704 1728 1737 1917 2272 2316 2556 2592 3088 3408 3456 3474 3834 4544 4632 5112 5184 5211 5751 6176 6816 6948 7668 9088 9264 10224 10368 10422 11502 12352 13632 13703 13896 15336 15633 18528 20448 20844 23004 24704 27264 27406 27792 30672 31266 37056 40896 41109 41688 46008 54812 55584 61344 62532 74112 81792 82218 83376 92016 109624 111168 122688 123327 125064 164436 166752 184032 219248 222336 245376 246654 250128 328872 333504 368064 369981 438496 493308 500256 657744 667008 736128 739962 876992 986616 1000512 1109943 1315488 1479924 1753984 1973232 2001024 2219886 2630976 2959848 3946464 4439772 5261952 5919696 7892928 8879544 11839392 15785856 17759088 23678784 35518176 47357568 71036352 142072704