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158233680 = 243251119979
BaseRepresentation
bin10010110111001…
…11010001010000
3102000202002210200
421123213101100
5311001434210
623411255200
73630651453
oct1133472120
9360662720
10158233680
1181356340
1244baa500
1326a227c7
141702d49a
15dd590c0
hex96e7450

158233680 has 120 divisors (see below), whose sum is σ = 579739680. Its totient is φ = 38357760.

The previous prime is 158233627. The next prime is 158233681. The reversal of 158233680 is 86332851.

It is a tau number, because it is divible by the number of its divisors (120).

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 (158233681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2070 + ... + 17909.

It is an arithmetic number, because the mean of its divisors is an integer number (4831164).

Almost surely, 2158233680 is an apocalyptic number.

158233680 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 158233680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289869840).

158233680 is an abundant number, since it is smaller than the sum of its proper divisors (421506000).

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

158233680 is a wasteful number, since it uses less digits than its factorization.

158233680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20009 (or 20000 counting only the distinct ones).

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

The square root of 158233680 is about 12579.0969469195. The cubic root of 158233680 is about 540.8784057335.

It can be divided in two parts, 15823 and 3680, that added together give a triangular number (19503 = T197).

The spelling of 158233680 in words is "one hundred fifty-eight million, two hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 19979 39958 59937 79916 99895 119874 159832 179811 199790 219769 239748 299685 319664 359622 399580 439538 479496 599370 659307 719244 799160 879076 899055 958992 1098845 1198740 1318614 1438488 1598320 1758152 1798110 1977921 2197690 2397480 2637228 2876976 3296535 3516304 3596220 3955842 4395380 4794960 5274456 6593070 7192440 7911684 8790760 9889605 10548912 13186140 14384880 15823368 17581520 19779210 26372280 31646736 39558420 52744560 79116840 158233680