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142657440 = 2535439677
BaseRepresentation
bin10001000000011…
…00011110100000
3100221102202012220
420200030132200
5243010014230
622053351040
73351365622
oct1040143640
9327382186
10142657440
1173587712
123b938480
132372aab3
1414d36c12
15c7cdd10
hex880c7a0

142657440 has 96 divisors (see below), whose sum is σ = 451059840. Its totient is φ = 37899264.

The previous prime is 142657439. The next prime is 142657441. The reversal of 142657440 is 44756241.

It is an interprime number because it is at equal distance from previous prime (142657439) and next prime (142657441).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1426574402 = 40702290374707200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142657441) 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, 210382 + ... + 211058.

It is an arithmetic number, because the mean of its divisors is an integer number (4698540).

Almost surely, 2142657440 is an apocalyptic number.

142657440 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 142657440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225529920).

142657440 is an abundant number, since it is smaller than the sum of its proper divisors (308402400).

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

142657440 is a wasteful number, since it uses less digits than its factorization.

142657440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 142657440 is about 11943.9290017984. The cubic root of 142657440 is about 522.5142537110.

The spelling of 142657440 in words is "one hundred forty-two million, six hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 439 480 677 878 1317 1354 1756 2031 2195 2634 2708 3385 3512 4062 4390 5268 5416 6585 6770 7024 8124 8780 10155 10536 10832 13170 13540 14048 16248 17560 20310 21072 21664 26340 27080 32496 35120 40620 42144 52680 54160 64992 70240 81240 105360 108320 162480 210720 297203 324960 594406 891609 1188812 1486015 1783218 2377624 2972030 3566436 4458045 4755248 5944060 7132872 8916090 9510496 11888120 14265744 17832180 23776240 28531488 35664360 47552480 71328720 142657440