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152323000 = 2353198017
BaseRepresentation
bin10010001010001…
…00001110111000
3101121121210212121
421011010032320
5302443314000
623040451024
73526503244
oct1105041670
9347553777
10152323000
1178a89585
1243019a74
132573336b
1416331424
15d58cb1a
hex91443b8

152323000 has 64 divisors (see below), whose sum is σ = 375242400. Its totient is φ = 57715200.

The previous prime is 152322991. The next prime is 152323013. The reversal of 152323000 is 323251.

It is a congruent number.

It is an unprimeable number.

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, 14992 + ... + 23008.

Almost surely, 2152323000 is an apocalyptic number.

152323000 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 152323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187621200).

152323000 is an abundant number, since it is smaller than the sum of its proper divisors (222919400).

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

152323000 is a wasteful number, since it uses less digits than its factorization.

152323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8057 (or 8043 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 152323000 is about 12341.9204340329. The cubic root of 152323000 is about 534.0580858603.

Adding to 152323000 its reverse (323251), we get a palindrome (152646251).

The spelling of 152323000 in words is "one hundred fifty-two million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 8017 9500 16034 19000 32068 40085 64136 80170 152323 160340 200425 304646 320680 400850 609292 761615 801700 1002125 1218584 1523230 1603400 2004250 3046460 3808075 4008500 6092920 7616150 8017000 15232300 19040375 30464600 38080750 76161500 152323000