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142487040 = 293518553
BaseRepresentation
bin10000111111000…
…10111000000000
3100221010002110210
420133202320000
5242434041130
622045554120
73350056053
oct1037427000
9327102423
10142487040
1173480693
123b875940
132369b377
1414cd0a9a
15c7985b0
hex87e2e00

142487040 has 80 divisors (see below), whose sum is σ = 455537808. Its totient is φ = 37994496.

The previous prime is 142487039. The next prime is 142487071. The reversal of 142487040 is 40784241.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 142486989 and 142487007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1597 + ... + 16956.

Almost surely, 2142487040 is an apocalyptic number.

142487040 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 142487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227768904).

142487040 is an abundant number, since it is smaller than the sum of its proper divisors (313050768).

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

142487040 is an equidigital number, since it uses as much as digits as its factorization.

142487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18579 (or 18563 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 142487040 is about 11936.7935393053. The cubic root of 142487040 is about 522.3061283284.

The spelling of 142487040 in words is "one hundred forty-two million, four hundred eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 18553 37106 55659 74212 92765 111318 148424 185530 222636 278295 296848 371060 445272 556590 593696 742120 890544 1113180 1187392 1484240 1781088 2226360 2374784 2968480 3562176 4452720 4749568 5936960 7124352 8905440 9499136 11873920 14248704 17810880 23747840 28497408 35621760 47495680 71243520 142487040