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142374320 = 245111731307
BaseRepresentation
bin10000111110001…
…11010110110000
3100220220100211222
420133013112300
5242421434240
622043324212
73346106324
oct1037072660
9326810758
10142374320
1173403a30
123b820668
132365bc7a
1414ca1984
15c774eb5
hex87c75b0

142374320 has 160 divisors (see below), whose sum is σ = 395974656. Its totient is φ = 47001600.

The previous prime is 142374317. The next prime is 142374341. The reversal of 142374320 is 23473241.

142374320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 142374320.

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, 463607 + ... + 463913.

Almost surely, 2142374320 is an apocalyptic number.

142374320 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 142374320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197987328).

142374320 is an abundant number, since it is smaller than the sum of its proper divisors (253600336).

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

142374320 is a wasteful number, since it uses less digits than its factorization.

142374320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 142374320 is about 11932.0710691816. The cubic root of 142374320 is about 522.1683616970.

The spelling of 142374320 in words is "one hundred forty-two million, three hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 31 34 40 44 55 62 68 80 85 88 110 124 136 155 170 176 187 220 248 272 307 310 340 341 374 440 496 527 614 620 680 682 748 880 935 1054 1228 1240 1360 1364 1496 1535 1705 1870 2108 2456 2480 2635 2728 2992 3070 3377 3410 3740 4216 4912 5219 5270 5456 5797 6140 6754 6820 7480 8432 9517 10438 10540 11594 12280 13508 13640 14960 16885 19034 20876 21080 23188 24560 26095 27016 27280 28985 33770 38068 41752 42160 46376 47585 52190 54032 57409 57970 67540 76136 83504 92752 95170 104380 104687 114818 115940 135080 152272 161789 190340 208760 209374 229636 231880 270160 287045 323578 380680 417520 418748 459272 463760 523435 574090 647156 761360 808945 837496 918544 1046870 1148180 1294312 1617890 1674992 1779679 2093740 2296360 2588624 3235780 3559358 4187480 4592720 6471560 7118716 8374960 8898395 12943120 14237432 17796790 28474864 35593580 71187160 142374320