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142007880 = 23357224151
BaseRepresentation
bin10000111011011…
…01111001001000
3100220012202012010
420131231321020
5242323223010
622031415520
73343022100
oct1035557110
9326182163
10142007880
1173183693
123b6845a0
1323561241
1414c08200
15c701620
hex876de48

142007880 has 96 divisors (see below), whose sum is σ = 495599040. Its totient is φ = 32457600.

The previous prime is 142007863. The next prime is 142007893. The reversal of 142007880 is 88700241.

142007880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6196 + ... + 17955.

It is an arithmetic number, because the mean of its divisors is an integer number (5162490).

Almost surely, 2142007880 is an apocalyptic number.

142007880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142007880 is an abundant number, since it is smaller than the sum of its proper divisors (353591160).

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

142007880 is a wasteful number, since it uses less digits than its factorization.

142007880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24179 (or 24168 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 142007880 is about 11916.7059206813. The cubic root of 142007880 is about 521.7199948658.

The spelling of 142007880 in words is "one hundred forty-two million, seven thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 24151 48302 72453 96604 120755 144906 169057 193208 241510 289812 338114 362265 483020 507171 579624 676228 724530 845285 966040 1014342 1183399 1352456 1449060 1690570 2028684 2366798 2535855 2898120 3381140 3550197 4057368 4733596 5071710 5916995 6762280 7100394 9467192 10143420 11833990 14200788 17750985 20286840 23667980 28401576 35501970 47335960 71003940 142007880