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142707700 = 225273113173
BaseRepresentation
bin10001000000110…
…00101111110100
3100221112022011101
420200120233310
5243013121300
622054415444
73351665302
oct1040305764
9327468141
10142707700
1173611453
123b961584
1323747935
1414d4b272
15c7ddb6a
hex8818bf4

142707700 has 72 divisors (see below), whose sum is σ = 318526488. Its totient is φ = 55480320.

The previous prime is 142707659. The next prime is 142707703. The reversal of 142707700 is 7707241.

It can be written as a sum of positive squares in 12 ways, for example, as 43744996 + 98962704 = 6614^2 + 9948^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142707703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 824814 + ... + 824986.

It is an arithmetic number, because the mean of its divisors is an integer number (4423979).

Almost surely, 2142707700 is an apocalyptic number.

142707700 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 142707700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159263244).

142707700 is an abundant number, since it is smaller than the sum of its proper divisors (175818788).

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

142707700 is a wasteful number, since it uses less digits than its factorization.

142707700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 28.

The square root of 142707700 is about 11946.0328142861. The cubic root of 142707700 is about 522.5756092746.

The spelling of 142707700 in words is "one hundred forty-two million, seven hundred seven thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 113 146 173 226 292 346 365 452 565 692 730 865 1130 1460 1730 1825 2260 2825 3460 3650 4325 5650 7300 8249 8650 11300 12629 16498 17300 19549 25258 32996 39098 41245 50516 63145 78196 82490 97745 126290 164980 195490 206225 252580 315725 390980 412450 488725 631450 824900 977450 1262900 1427077 1954900 2854154 5708308 7135385 14270770 28541540 35676925 71353850 142707700