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142219840 = 2657173367
BaseRepresentation
bin10000111101000…
…01101001000000
3100220121111221111
420132201221000
5242402013330
622040133104
73344564050
oct1036415100
9326544844
10142219840
1173308964
123b767194
1323606869
1414c61560
15c74432a
hex87a1a40

142219840 has 112 divisors (see below), whose sum is σ = 390339072. Its totient is φ = 48347136.

The previous prime is 142219801. The next prime is 142219867. The reversal of 142219840 is 48912241.

It is a tau number, because it is divible by the number of its divisors (112).

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, 387337 + ... + 387703.

Almost surely, 2142219840 is an apocalyptic number.

142219840 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 142219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195169536).

142219840 is an abundant number, since it is smaller than the sum of its proper divisors (248119232).

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

142219840 is a wasteful number, since it uses less digits than its factorization.

142219840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 142219840 is about 11925.5960018776. The cubic root of 142219840 is about 521.9794377381.

The spelling of 142219840 in words is "one hundred forty-two million, two hundred nineteen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 173 224 280 320 346 367 448 560 692 734 865 1120 1211 1384 1468 1730 1835 2240 2422 2569 2768 2936 3460 3670 4844 5138 5536 5872 6055 6920 7340 9688 10276 11072 11744 12110 12845 13840 14680 19376 20552 23488 24220 25690 27680 29360 38752 41104 48440 51380 55360 58720 63491 77504 82208 96880 102760 117440 126982 164416 193760 205520 253964 317455 387520 411040 444437 507928 634910 822080 888874 1015856 1269820 1777748 2031712 2222185 2539640 3555496 4063424 4444370 5079280 7110992 8888740 10158560 14221984 17777480 20317120 28443968 35554960 71109920 142219840