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142872540 = 223537139463
BaseRepresentation
bin10001000010000…
…00111111011100
3100221211200021120
420201000333130
5243033410130
622102130540
73353253006
oct1041007734
9327750246
10142872540
1173714288
123ba20a50
13237a4985
1414d91376
15c822910
hex8840fdc

142872540 has 96 divisors (see below), whose sum is σ = 414704640. Its totient is φ = 36723456.

The previous prime is 142872529. The next prime is 142872547. The reversal of 142872540 is 45278241.

142872540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1428725404 (a number of 34 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142872547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308349 + ... + 308811.

It is an arithmetic number, because the mean of its divisors is an integer number (4319840).

Almost surely, 2142872540 is an apocalyptic number.

142872540 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 142872540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207352320).

142872540 is an abundant number, since it is smaller than the sum of its proper divisors (271832100).

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

142872540 is a wasteful number, since it uses less digits than its factorization.

142872540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 142872540 is about 11952.9301846869. The cubic root of 142872540 is about 522.7767388509.

The spelling of 142872540 in words is "one hundred forty-two million, eight hundred seventy-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 139 148 185 222 278 370 417 444 463 555 556 695 740 834 926 1110 1389 1390 1668 1852 2085 2220 2315 2778 2780 4170 4630 5143 5556 6945 8340 9260 10286 13890 15429 17131 20572 25715 27780 30858 34262 51393 51430 61716 64357 68524 77145 85655 102786 102860 128714 154290 171310 193071 205572 256965 257428 308580 321785 342620 386142 513930 643570 772284 965355 1027860 1287140 1930710 2381209 3861420 4762418 7143627 9524836 11906045 14287254 23812090 28574508 35718135 47624180 71436270 142872540