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142404760 = 2355983727
BaseRepresentation
bin10000111110011…
…10110010011000
3100220221220121101
420133032302120
5242423423020
622044121144
73346264141
oct1037166230
9326856541
10142404760
1173424893
123b8361b4
132366ca94
1414cacac8
15c77e00a
hex87cec98

142404760 has 64 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 55245696.

The previous prime is 142404727. The next prime is 142404763. The reversal of 142404760 is 67404241.

142404760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142404763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195517 + ... + 196243.

It is an arithmetic number, because the mean of its divisors is an integer number (5159700).

Almost surely, 2142404760 is an apocalyptic number.

142404760 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 142404760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

142404760 is an abundant number, since it is smaller than the sum of its proper divisors (187816040).

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

142404760 is a wasteful number, since it uses less digits than its factorization.

142404760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 142404760 is about 11933.3465549275. The cubic root of 142404760 is about 522.2055726966.

The spelling of 142404760 in words is "one hundred forty-two million, four hundred four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 59 83 118 166 236 295 332 415 472 590 664 727 830 1180 1454 1660 2360 2908 3320 3635 4897 5816 7270 9794 14540 19588 24485 29080 39176 42893 48970 60341 85786 97940 120682 171572 195880 214465 241364 301705 343144 428930 482728 603410 857860 1206820 1715720 2413640 3560119 7120238 14240476 17800595 28480952 35601190 71202380 142404760