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158971120 = 245711131197
BaseRepresentation
bin10010111100110…
…11010011110000
3102002010120101021
421132123103300
5311144033440
623435145224
73640142440
oct1136332360
9362116337
10158971120
118180a3a0
12452a5214
1326c20369
1417182120
15de5284a
hex979b4f0

158971120 has 160 divisors (see below), whose sum is σ = 466684416. Its totient is φ = 48921600.

The previous prime is 158971117. The next prime is 158971121. The reversal of 158971120 is 21179851.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158971121) 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, 806862 + ... + 807058.

Almost surely, 2158971120 is an apocalyptic number.

158971120 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 158971120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233342208).

158971120 is an abundant number, since it is smaller than the sum of its proper divisors (307713296).

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

158971120 is a wasteful number, since it uses less digits than its factorization.

158971120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 34.

The square root of 158971120 is about 12608.3749944233. The cubic root of 158971120 is about 541.7173492089.

The spelling of 158971120 in words is "one hundred fifty-eight million, nine hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 131 140 154 176 197 220 262 280 308 385 394 440 524 560 616 655 770 788 880 917 985 1048 1232 1310 1379 1441 1540 1576 1834 1970 2096 2167 2620 2758 2882 3080 3152 3668 3940 4334 4585 5240 5516 5764 6160 6895 7205 7336 7880 8668 9170 10087 10480 10835 11032 11528 13790 14410 14672 15169 15760 17336 18340 20174 21670 22064 23056 25807 27580 28820 30338 34672 36680 40348 43340 50435 51614 55160 57640 60676 73360 75845 80696 86680 100870 103228 110320 115280 121352 129035 151690 161392 173360 180649 201740 206456 242704 258070 283877 303380 361298 403480 412912 516140 567754 606760 722596 806960 903245 1032280 1135508 1213520 1419385 1445192 1806490 1987139 2064560 2271016 2838770 2890384 3612980 3974278 4542032 5677540 7225960 7948556 9935695 11355080 14451920 15897112 19871390 22710160 31794224 39742780 79485560 158971120