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155342000 = 24531123307
BaseRepresentation
bin10010100001001…
…01010010110000
3101211022012011102
421100211102300
5304231421000
623225303532
73564246062
oct1120452260
9354265142
10155342000
117a760820
1244034ba8
132624c558
14168b9732
15d9873d5
hex94254b0

155342000 has 160 divisors (see below), whose sum is σ = 428972544. Its totient is φ = 53856000.

The previous prime is 155341999. The next prime is 155342017. The reversal of 155342000 is 243551.

It is a super-2 number, since 2×1553420002 = 48262273928000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 505847 + ... + 506153.

Almost surely, 2155342000 is an apocalyptic number.

155342000 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 155342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

155342000 is an abundant number, since it is smaller than the sum of its proper divisors (273630544).

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

155342000 is a wasteful number, since it uses less digits than its factorization.

155342000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 155342000 is about 12463.6270804289. The cubic root of 155342000 is about 537.5633240699.

Adding to 155342000 its reverse (243551), we get a palindrome (155585551).

The spelling of 155342000 in words is "one hundred fifty-five million, three hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 125 176 184 200 220 230 250 253 275 307 368 400 440 460 500 506 550 575 614 880 920 1000 1012 1100 1150 1228 1265 1375 1535 1840 2000 2024 2200 2300 2456 2530 2750 2875 3070 3377 4048 4400 4600 4912 5060 5500 5750 6140 6325 6754 7061 7675 9200 10120 11000 11500 12280 12650 13508 14122 15350 16885 20240 22000 23000 24560 25300 27016 28244 30700 31625 33770 35305 38375 46000 50600 54032 56488 61400 63250 67540 70610 76750 77671 84425 101200 112976 122800 126500 135080 141220 153500 155342 168850 176525 253000 270160 282440 307000 310684 337700 353050 388355 422125 506000 564880 614000 621368 675400 706100 776710 844250 882625 1242736 1350800 1412200 1553420 1688500 1765250 1941775 2824400 3106840 3377000 3530500 3883550 6213680 6754000 7061000 7767100 9708875 14122000 15534200 19417750 31068400 38835500 77671000 155342000