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158000640 = 293572939
BaseRepresentation
bin10010110101011…
…10011000000000
3102000022021010120
421122232120000
5310422010030
623402300240
73625661160
oct1132563000
9360267116
10158000640
1181207246
1244ab7680
1326970705
1416dac5a0
15dd10010
hex96ae600

158000640 has 160 divisors (see below), whose sum is σ = 577463040. Its totient is φ = 36102144.

The previous prime is 158000621. The next prime is 158000641. The reversal of 158000640 is 46000851.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 158000640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158000641) 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 15 ways as a sum of consecutive naturals, for example, 52291 + ... + 55229.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144).

Almost surely, 2158000640 is an apocalyptic number.

158000640 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 158000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288731520).

158000640 is an abundant number, since it is smaller than the sum of its proper divisors (419462400).

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

158000640 is an equidigital number, since it uses as much as digits as its factorization.

158000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 158000640 is about 12569.8305477838. The cubic root of 158000640 is about 540.6127475143.

The spelling of 158000640 in words is "one hundred fifty-eight million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 2939 3360 3584 3840 4480 5376 5878 6720 7680 8817 8960 10752 11756 13440 14695 17634 17920 20573 23512 26880 29390 35268 41146 44085 47024 53760 58780 61719 70536 82292 88170 94048 102865 117560 123438 141072 164584 176340 188096 205730 235120 246876 282144 308595 329168 352680 376192 411460 470240 493752 564288 617190 658336 705360 752384 822920 940480 987504 1128576 1234380 1316672 1410720 1504768 1645840 1880960 1975008 2257152 2468760 2633344 2821440 3291680 3761920 3950016 4514304 4937520 5266688 5642880 6583360 7523840 7900032 9875040 10533376 11285760 13166720 15800064 19750080 22571520 26333440 31600128 39500160 52666880 79000320 158000640