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158171920 = 24523314759
BaseRepresentation
bin10010110110110…
…00001100010000
3102000121222002021
421123120030100
5310443000140
623410101224
73630303424
oct1133301420
9360558067
10158171920
11813139a5
1244b7a814
1326a0066a
1417014b84
15dd45b4a
hex96d8310

158171920 has 160 divisors (see below), whose sum is σ = 411402240. Its totient is φ = 56348160.

The previous prime is 158171899. The next prime is 158171921. The reversal of 158171920 is 29171851.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (158171921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2680851 + ... + 2680909.

It is an arithmetic number, because the mean of its divisors is an integer number (2571264).

Almost surely, 2158171920 is an apocalyptic number.

158171920 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 158171920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205701120).

158171920 is an abundant number, since it is smaller than the sum of its proper divisors (253230320).

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

158171920 is a wasteful number, since it uses less digits than its factorization.

158171920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

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

The square root of 158171920 is about 12576.6418411275. The cubic root of 158171920 is about 540.8080267065.

The spelling of 158171920 in words is "one hundred fifty-eight million, one hundred seventy-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 47 59 62 80 92 94 115 118 124 155 184 188 230 235 236 248 295 310 368 376 460 470 472 496 590 620 713 752 920 940 944 1081 1180 1240 1357 1426 1457 1829 1840 1880 2162 2360 2480 2714 2773 2852 2914 3565 3658 3760 4324 4720 5405 5428 5546 5704 5828 6785 7130 7285 7316 8648 9145 10810 10856 11092 11408 11656 13570 13865 14260 14570 14632 17296 18290 21620 21712 22184 23312 27140 27730 28520 29140 29264 33511 36580 42067 43240 44368 54280 55460 57040 58280 63779 67022 73160 84134 85963 86480 108560 110920 116560 127558 134044 146320 167555 168268 171926 210335 221840 255116 268088 318895 335110 336536 343852 420670 429815 510232 536176 637790 670220 673072 687704 841340 859630 1020464 1275580 1340440 1375408 1682680 1719260 1977149 2551160 2680880 3365360 3438520 3954298 5102320 6877040 7908596 9885745 15817192 19771490 31634384 39542980 79085960 158171920