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142930440 = 23335891487
BaseRepresentation
bin10001000010011…
…11001000001000
3100221221121201000
420201033020020
5243042233230
622103255000
73353613552
oct1041171010
9327847630
10142930440
1173753834
123ba4a460
13237c5133
1414da84d2
15c834b60
hex884f208

142930440 has 128 divisors (see below), whose sum is σ = 482112000. Its totient is φ = 37661184.

The previous prime is 142930439. The next prime is 142930477. The reversal of 142930440 is 44039241.

142930440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1429304402 = 40858221357187200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95377 + ... + 96863.

It is an arithmetic number, because the mean of its divisors is an integer number (3766500).

Almost surely, 2142930440 is an apocalyptic number.

142930440 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 142930440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241056000).

142930440 is an abundant number, since it is smaller than the sum of its proper divisors (339181560).

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

142930440 is a wasteful number, since it uses less digits than its factorization.

142930440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1586 counting only the distinct ones).

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

The square root of 142930440 is about 11955.3519396127. The cubic root of 142930440 is about 522.8473488395.

Adding to 142930440 its reverse (44039241), we get a palindrome (186969681).

The spelling of 142930440 in words is "one hundred forty-two million, nine hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 89 90 108 120 135 178 180 216 267 270 356 360 445 534 540 712 801 890 1068 1080 1335 1487 1602 1780 2136 2403 2670 2974 3204 3560 4005 4461 4806 5340 5948 6408 7435 8010 8922 9612 10680 11896 12015 13383 14870 16020 17844 19224 22305 24030 26766 29740 32040 35688 40149 44610 48060 53532 59480 66915 80298 89220 96120 107064 132343 133830 160596 178440 200745 264686 267660 321192 397029 401490 529372 535320 661715 794058 802980 1058744 1191087 1323430 1588116 1605960 1985145 2382174 2646860 3176232 3573261 3970290 4764348 5293720 5955435 7146522 7940580 9528696 11910870 14293044 15881160 17866305 23821740 28586088 35732610 47643480 71465220 142930440