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158045040 = 24335193851
BaseRepresentation
bin10010110101110…
…01001101110000
3102000101112001000
421122321031300
5310424420130
623403242000
73626234466
oct1132711560
9360345030
10158045040
118123763a
1244b19300
132698799a
1416dc0836
15dd1d260
hex96b9370

158045040 has 160 divisors (see below), whose sum is σ = 573177600. Its totient is φ = 39916800.

The previous prime is 158045033. The next prime is 158045057. The reversal of 158045040 is 40540851.

158045040 is a `hidden beast` number, since 1 + 580 + 45 + 0 + 40 = 666.

158045040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 158044995 and 158045013.

It is a congruent number.

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, 39115 + ... + 42965.

It is an arithmetic number, because the mean of its divisors is an integer number (3582360).

Almost surely, 2158045040 is an apocalyptic number.

158045040 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 158045040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286588800).

158045040 is an abundant number, since it is smaller than the sum of its proper divisors (415132560).

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

158045040 is a wasteful number, since it uses less digits than its factorization.

158045040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 158045040 is about 12571.5965573192. The cubic root of 158045040 is about 540.6633822416.

Adding to 158045040 its reverse (40540851), we get a palindrome (198585891).

The spelling of 158045040 in words is "one hundred fifty-eight million, forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 3851 4104 4560 5130 6840 7702 8208 10260 11553 13680 15404 19255 20520 23106 30808 34659 38510 41040 46212 57765 61616 69318 73169 77020 92424 103977 115530 138636 146338 154040 173295 184848 207954 219507 231060 277272 292676 308080 346590 365845 415908 439014 462120 519885 554544 585352 658521 693180 731690 831816 878028 924240 1039770 1097535 1170704 1317042 1386360 1463380 1663632 1756056 1975563 2079540 2195070 2634084 2772720 2926760 3292605 3512112 3951126 4159080 4390140 5268168 5853520 6585210 7902252 8318160 8780280 9877815 10536336 13170420 15804504 17560560 19755630 26340840 31609008 39511260 52681680 79022520 158045040