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142440760 = 235711103449
BaseRepresentation
bin10000111110101…
…11100100111000
3100221000201222201
420133113210320
5242431101020
622044555544
73346504120
oct1037274470
9327021881
10142440760
1173449940
123b852bb4
1323683297
1414cbbc80
15c789a0a
hex87d7938

142440760 has 128 divisors (see below), whose sum is σ = 404352000. Its totient is φ = 43868160.

The previous prime is 142440757. The next prime is 142440763. The reversal of 142440760 is 67044241.

It is an interprime number because it is at equal distance from previous prime (142440757) and next prime (142440763).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142440763) 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, 317016 + ... + 317464.

It is an arithmetic number, because the mean of its divisors is an integer number (3159000).

Almost surely, 2142440760 is an apocalyptic number.

142440760 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 142440760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202176000).

142440760 is an abundant number, since it is smaller than the sum of its proper divisors (261911240).

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

142440760 is a wasteful number, since it uses less digits than its factorization.

142440760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 142440760 is about 11934.8548378269. The cubic root of 142440760 is about 522.2495736056.

The spelling of 142440760 in words is "one hundred forty-two million, four hundred forty thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 103 110 140 154 206 220 280 308 385 412 440 449 515 616 721 770 824 898 1030 1133 1442 1540 1796 2060 2245 2266 2884 3080 3143 3592 3605 4120 4490 4532 4939 5665 5768 6286 7210 7931 8980 9064 9878 11330 12572 14420 15715 15862 17960 19756 22660 24695 25144 28840 31430 31724 34573 39512 39655 45320 46247 49390 62860 63448 69146 79310 92494 98780 125720 138292 158620 172865 184988 197560 231235 276584 317240 323729 345730 369976 462470 508717 647458 691460 924940 1017434 1294916 1382920 1618645 1849880 2034868 2543585 2589832 3237290 3561019 4069736 5087170 6474580 7122038 10174340 12949160 14244076 17805095 20348680 28488152 35610190 71220380 142440760