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142230480 = 24357312731
BaseRepresentation
bin10000111101001…
…00001111010000
3100220122001112120
420132210033100
5242402333410
622040254240
73344640060
oct1036441720
9326561476
10142230480
1173315957
123b771380
132360b662
1414c653a0
15c747570
hex87a43d0

142230480 has 160 divisors (see below), whose sum is σ = 520347648. Its totient is φ = 31449600.

The previous prime is 142230461. The next prime is 142230493. The reversal of 142230480 is 84032241.

142230480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 142230480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50715 + ... + 53445.

Almost surely, 2142230480 is an apocalyptic number.

142230480 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 142230480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260173824).

142230480 is an abundant number, since it is smaller than the sum of its proper divisors (378117168).

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

142230480 is a wasteful number, since it uses less digits than its factorization.

142230480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 142230480 is about 11926.0420928320. The cubic root of 142230480 is about 521.9924544938.

The spelling of 142230480 in words is "one hundred forty-two million, two hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 2170 2480 2604 2731 3255 3472 3720 4340 5208 5462 6510 7440 8193 8680 10416 10924 13020 13655 16386 17360 19117 21848 26040 27310 32772 38234 40965 43696 52080 54620 57351 65544 76468 81930 84661 95585 109240 114702 131088 152936 163860 169322 191170 218480 229404 253983 286755 305872 327720 338644 382340 423305 458808 507966 573510 592627 655440 677288 764680 846610 917616 1015932 1147020 1185254 1269915 1354576 1529360 1693220 1777881 2031864 2294040 2370508 2539830 2963135 3386440 3555762 4063728 4588080 4741016 5079660 5926270 6772880 7111524 8889405 9482032 10159320 11852540 14223048 17778810 20318640 23705080 28446096 35557620 47410160 71115240 142230480