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142548840 = 23325728081
BaseRepresentation
bin10000111111100…
…01111101101000
3100221020020020200
420133301331220
5242443030330
622051152200
73350434200
oct1037617550
9327206220
10142548840
1173513065
123b8a5660
13236c0535
1414d09400
15c7aba60
hex87f1f68

142548840 has 144 divisors (see below), whose sum is σ = 538988580. Its totient is φ = 32578560.

The previous prime is 142548823. The next prime is 142548869. The reversal of 142548840 is 48845241.

It can be written as a sum of positive squares in 2 ways, for example, as 139287204 + 3261636 = 11802^2 + 1806^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142548795 and 142548804.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13600 + ... + 21680.

Almost surely, 2142548840 is an apocalyptic number.

142548840 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 142548840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269494290).

142548840 is an abundant number, since it is smaller than the sum of its proper divisors (396439740).

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

142548840 is a wasteful number, since it uses less digits than its factorization.

142548840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8112 (or 8098 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 142548840 is about 11939.3818935488. The cubic root of 142548840 is about 522.3816295885.

The spelling of 142548840 in words is "one hundred forty-two million, five hundred forty-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8081 8820 16162 17640 24243 32324 40405 48486 56567 64648 72729 80810 96972 113134 121215 145458 161620 169701 193944 226268 242430 282835 290916 323240 339402 363645 395969 452536 484860 509103 565670 581832 678804 727290 791938 848505 969720 1018206 1131340 1187907 1357608 1454580 1583876 1697010 1979845 2036412 2262680 2375814 2545515 2909160 3167752 3394020 3563721 3959690 4072824 4751628 5091030 5939535 6788040 7127442 7919380 9503256 10182060 11879070 14254884 15838760 17818605 20364120 23758140 28509768 35637210 47516280 71274420 142548840