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151052000 = 2553113433
BaseRepresentation
bin10010000000011…
…01111011100000
3101112020020101112
421000031323200
5302132131000
622553322452
73512630561
oct1100157340
9345206345
10151052000
11782a0670
1242706428
13253a99a8
14160c0168
15d3db235
hex900dee0

151052000 has 96 divisors (see below), whose sum is σ = 404992224. Its totient is φ = 54912000.

The previous prime is 151051997. The next prime is 151052023. The reversal of 151052000 is 250151.

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, 42284 + ... + 45716.

It is an arithmetic number, because the mean of its divisors is an integer number (4218669).

Almost surely, 2151052000 is an apocalyptic number.

151052000 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 151052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202496112).

151052000 is an abundant number, since it is smaller than the sum of its proper divisors (253940224).

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

151052000 is a wasteful number, since it uses less digits than its factorization.

151052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 151052000 is about 12290.3213953094. The cubic root of 151052000 is about 532.5685218236.

The spelling of 151052000 in words is "one hundred fifty-one million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 3433 4000 4400 5500 6866 8800 11000 13732 17165 22000 27464 34330 37763 44000 54928 68660 75526 85825 109856 137320 151052 171650 188815 274640 302104 343300 377630 429125 549280 604208 686600 755260 858250 944075 1208416 1373200 1510520 1716500 1888150 2746400 3021040 3433000 3776300 4720375 6042080 6866000 7552600 9440750 13732000 15105200 18881500 30210400 37763000 75526000 151052000