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142439040 = 273358243
BaseRepresentation
bin10000111110101…
…11001010000000
3100221000122122000
420133113022000
5242431022130
622044544000
73346466112
oct1037271200
9327018560
10142439040
1173448617
123b852000
1323682573
1414cbb3b2
15c789260
hex87d7280

142439040 has 128 divisors (see below), whose sum is σ = 504532800. Its totient is φ = 37979136.

The previous prime is 142439027. The next prime is 142439047. The reversal of 142439040 is 40934241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1424390402 = 40577760232243200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 142438995 and 142439013.

It is not an unprimeable number, because it can be changed into a prime (142439047) 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, 13159 + ... + 21401.

Almost surely, 2142439040 is an apocalyptic number.

142439040 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 142439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252266400).

142439040 is an abundant number, since it is smaller than the sum of its proper divisors (362093760).

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

142439040 is an equidigital number, since it uses as much as digits as its factorization.

142439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8271 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 142439040 is about 11934.7827797577. The cubic root of 142439040 is about 522.2474715086.

The spelling of 142439040 in words is "one hundred forty-two million, four hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8243 8640 16486 17280 24729 32972 41215 49458 65944 74187 82430 98916 123645 131888 148374 164860 197832 222561 247290 263776 296748 329720 370935 395664 445122 494580 527552 593496 659440 741870 791328 890244 989160 1055104 1112805 1186992 1318880 1483740 1582656 1780488 1978320 2225610 2373984 2637760 2967480 3165312 3560976 3956640 4451220 4747968 5275520 5934960 7121952 7913280 8902440 9495936 11869920 14243904 15826560 17804880 23739840 28487808 35609760 47479680 71219520 142439040