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142935408 = 24337114297
BaseRepresentation
bin10001000010100…
…00010101110000
3100221221212112000
420201100111300
5243042413113
622103334000
73353634210
oct1041202560
9327855460
10142935408
1173757540
123ba51300
13237c7485
1414daa240
15c836373
hex8850570

142935408 has 160 divisors (see below), whose sum is σ = 511633920. Its totient is φ = 37117440.

The previous prime is 142935407. The next prime is 142935421. The reversal of 142935408 is 804539241.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142935407) 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, 31116 + ... + 35412.

It is an arithmetic number, because the mean of its divisors is an integer number (3197712).

Almost surely, 2142935408 is an apocalyptic number.

142935408 is a gapful number since it is divisible by the number (18) 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 142935408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255816960).

142935408 is an abundant number, since it is smaller than the sum of its proper divisors (368698512).

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

142935408 is a wasteful number, since it uses less digits than its factorization.

142935408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 142935408 is about 11955.5597108626. The cubic root of 142935408 is about 522.8534065076.

It can be divided in two parts, 14293 and 5408, that added together give a triangular number (19701 = T198).

The spelling of 142935408 in words is "one hundred forty-two million, nine hundred thirty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4297 4752 5544 8316 8594 11088 12891 16632 17188 25782 30079 33264 34376 38673 47267 51564 60158 68752 77346 90237 94534 103128 116019 120316 141801 154692 180474 189068 206256 232038 240632 270711 283602 309384 330869 360948 378136 425403 464076 481264 541422 567204 618768 661738 721896 756272 812133 850806 928152 992607 1082844 1134408 1276209 1323476 1443792 1624266 1701612 1856304 1985214 2165688 2268816 2552418 2646952 2977821 3248532 3403224 3970428 4331376 5104836 5293904 5955642 6497064 6806448 7940856 8933463 10209672 11911284 12994128 15881712 17866926 20419344 23822568 35733852 47645136 71467704 142935408