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142503040 = 2751911719
BaseRepresentation
bin10000111111001…
…10110010000000
3100221010220102101
420133212302000
5242440044130
622050200144
73350153521
oct1037466200
9327126371
10142503040
1173491709
123b883054
13236a5734
1414cd6848
15c79d1ca
hex87e6c80

142503040 has 64 divisors (see below), whose sum is σ = 358632000. Its totient is φ = 53996544.

The previous prime is 142502981. The next prime is 142503047. The reversal of 142503040 is 40305241.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 142502999 and 142503017.

It is not an unprimeable number, because it can be changed into a prime (142503047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6301 + ... + 18019.

It is an arithmetic number, because the mean of its divisors is an integer number (5603625).

Almost surely, 2142503040 is an apocalyptic number.

142503040 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 142503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179316000).

142503040 is an abundant number, since it is smaller than the sum of its proper divisors (216128960).

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

142503040 is a wasteful number, since it uses less digits than its factorization.

142503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11757 (or 11745 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 142503040 is about 11937.4637172223. The cubic root of 142503040 is about 522.3256776743.

Adding to 142503040 its reverse (40305241), we get a palindrome (182808281).

The spelling of 142503040 in words is "one hundred forty-two million, five hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 11719 12160 23438 46876 58595 93752 117190 187504 222661 234380 375008 445322 468760 750016 890644 937520 1113305 1500032 1781288 1875040 2226610 3562576 3750080 4453220 7125152 7500160 8906440 14250304 17812880 28500608 35625760 71251520 142503040