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142407760 = 24511413947
BaseRepresentation
bin10000111110011…
…11100001010000
3100220222001201111
420133033201100
5242424022020
622044143104
73346305655
oct1037174120
9326861644
10142407760
1173427070
123b837a94
1323671261
1414cadc2c
15c77ed5a
hex87cf850

142407760 has 80 divisors (see below), whose sum is σ = 370101312. Its totient is φ = 50508800.

The previous prime is 142407751. The next prime is 142407773. The reversal of 142407760 is 67704241.

142407760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34107 + ... + 38053.

Almost surely, 2142407760 is an apocalyptic number.

142407760 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 142407760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185050656).

142407760 is an abundant number, since it is smaller than the sum of its proper divisors (227693552).

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

142407760 is a wasteful number, since it uses less digits than its factorization.

142407760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 4006 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 142407760 is about 11933.4722524502. The cubic root of 142407760 is about 522.2092397222.

The spelling of 142407760 in words is "one hundred forty-two million, four hundred seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 41 44 55 80 82 88 110 164 176 205 220 328 410 440 451 656 820 880 902 1640 1804 2255 3280 3608 3947 4510 7216 7894 9020 15788 18040 19735 31576 36080 39470 43417 63152 78940 86834 157880 161827 173668 217085 315760 323654 347336 434170 647308 694672 809135 868340 1294616 1618270 1736680 1780097 2589232 3236540 3473360 3560194 6473080 7120388 8900485 12946160 14240776 17800970 28481552 35601940 71203880 142407760