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142298100 = 22335277529
BaseRepresentation
bin10000111101101…
…00101111110100
3100220202111022000
420132310233310
5242412014400
622041535300
73345341160
oct1036645764
9326674260
10142298100
117336173a
123b7a4530
1323633379
1414c81ca0
15c75c600
hex87b4bf4

142298100 has 144 divisors (see below), whose sum is σ = 522883200. Its totient is φ = 32520960.

The previous prime is 142298077. The next prime is 142298111. The reversal of 142298100 is 1892241.

It is a super-2 number, since 2×1422981002 = 40497498527220000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 15136 + ... + 22664.

Almost surely, 2142298100 is an apocalyptic number.

142298100 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 142298100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261441600).

142298100 is an abundant number, since it is smaller than the sum of its proper divisors (380585100).

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

142298100 is a wasteful number, since it uses less digits than its factorization.

142298100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7559 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 142298100 is about 11928.8767283429. The cubic root of 142298100 is about 522.0751642325.

The spelling of 142298100 in words is "one hundred forty-two million, two hundred ninety-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 84 90 100 105 108 126 135 140 150 175 180 189 210 225 252 270 300 315 350 378 420 450 525 540 630 675 700 756 900 945 1050 1260 1350 1575 1890 2100 2700 3150 3780 4725 6300 7529 9450 15058 18900 22587 30116 37645 45174 52703 67761 75290 90348 105406 112935 135522 150580 158109 188225 203283 210812 225870 263515 271044 316218 338805 376450 406566 451740 474327 527030 564675 632436 677610 752900 790545 813132 948654 1016415 1054060 1129350 1317575 1355220 1422981 1581090 1694025 1897308 2032830 2258700 2371635 2635150 2845962 3162180 3388050 3952725 4065660 4743270 5082075 5270300 5691924 6776100 7114905 7905450 9486540 10164150 11858175 14229810 15810900 20328300 23716350 28459620 35574525 47432700 71149050 142298100