Search a number
-
+
142765840 = 24572959149
BaseRepresentation
bin10001000001001…
…10111100010000
3100221122020220201
420200212330100
5243022001330
622055544544
73352326640
oct1040467420
9327566821
10142765840
11736510a8
123b98b154
1323768239
1414d64520
15c800eca
hex8826f10

142765840 has 160 divisors (see below), whose sum is σ = 401760000. Its totient is φ = 46147584.

The previous prime is 142765787. The next prime is 142765841. The reversal of 142765840 is 48567241.

It is a self number, because there is not a number n which added to its sum of digits gives 142765840.

It is not an unprimeable number, because it can be changed into a prime (142765841) 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, 958086 + ... + 958234.

It is an arithmetic number, because the mean of its divisors is an integer number (2511000).

Almost surely, 2142765840 is an apocalyptic number.

142765840 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 142765840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880000).

142765840 is an abundant number, since it is smaller than the sum of its proper divisors (258994160).

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

142765840 is a wasteful number, since it uses less digits than its factorization.

142765840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 142765840 is about 11948.4660103295. The cubic root of 142765840 is about 522.6465664849.

The spelling of 142765840 in words is "one hundred forty-two million, seven hundred sixty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 59 70 80 112 116 118 140 145 149 203 232 236 280 290 295 298 406 413 464 472 560 580 590 596 745 812 826 944 1015 1043 1160 1180 1192 1490 1624 1652 1711 2030 2065 2086 2320 2360 2384 2980 3248 3304 3422 4060 4130 4172 4321 4720 5215 5960 6608 6844 8120 8260 8344 8555 8642 8791 10430 11920 11977 13688 16240 16520 16688 17110 17284 17582 20860 21605 23954 27376 30247 33040 34220 34568 35164 41720 43210 43955 47908 59885 60494 61537 68440 69136 70328 83440 86420 87910 95816 119770 120988 123074 136880 140656 151235 172840 175820 191632 239540 241976 246148 254939 302470 307685 345680 351640 479080 483952 492296 509878 604940 615370 703280 958160 984592 1019756 1209880 1230740 1274695 1784573 2039512 2419760 2461480 2549390 3569146 4079024 4922960 5098780 7138292 8922865 10197560 14276584 17845730 20395120 28553168 35691460 71382920 142765840