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142743040 = 2951137137
BaseRepresentation
bin10001000001000…
…01011000000000
3100221121002122021
420200201120000
5243020234130
622055251224
73352203316
oct1040413000
9327532567
10142743040
1173635a60
123b979b14
132375aa4b
1414d5a0b6
15c7e937a
hex8821600

142743040 has 160 divisors (see below), whose sum is σ = 386252064. Its totient is φ = 50135040.

The previous prime is 142743019. The next prime is 142743049. The reversal of 142743040 is 40347241.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 142742996 and 142743014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142743049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1041852 + ... + 1041988.

Almost surely, 2142743040 is an apocalyptic number.

142743040 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 142743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193126032).

142743040 is an abundant number, since it is smaller than the sum of its proper divisors (243509024).

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

142743040 is a wasteful number, since it uses less digits than its factorization.

142743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 142743040 is about 11947.5118748633. The cubic root of 142743040 is about 522.6187424243.

The spelling of 142743040 in words is "one hundred forty-two million, seven hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 64 74 80 88 110 128 137 148 160 176 185 220 256 274 296 320 352 370 407 440 512 548 592 640 685 704 740 814 880 1096 1184 1280 1370 1408 1480 1507 1628 1760 2035 2192 2368 2560 2740 2816 2960 3014 3256 3520 4070 4384 4736 5069 5480 5632 5920 6028 6512 7040 7535 8140 8768 9472 10138 10960 11840 12056 13024 14080 15070 16280 17536 18944 20276 21920 23680 24112 25345 26048 28160 30140 32560 35072 40552 43840 47360 48224 50690 52096 55759 60280 65120 70144 81104 87680 94720 96448 101380 104192 111518 120560 130240 162208 175360 192896 202760 208384 223036 241120 260480 278795 324416 350720 385792 405520 446072 482240 520960 557590 648832 771584 811040 892144 964480 1041920 1115180 1297664 1622080 1784288 1928960 2230360 2595328 3244160 3568576 3857920 4460720 6488320 7137152 8921440 12976640 14274304 17842880 28548608 35685760 71371520 142743040