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151069000 = 2353197951
BaseRepresentation
bin10010000000100…
…10000101001000
3101112021002201011
421000102011020
5302133202000
622553533304
73513031255
oct1100220510
9345232634
10151069000
1178302415
1242714234
13253b4654
14160c642c
15d3e12ba
hex9012148

151069000 has 64 divisors (see below), whose sum is σ = 372153600. Its totient is φ = 57240000.

The previous prime is 151068979. The next prime is 151069003. The reversal of 151069000 is 960151.

It is a super-2 number, since 2×1510690002 = 45643685522000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (151069003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15025 + ... + 22975.

It is an arithmetic number, because the mean of its divisors is an integer number (5814900).

Almost surely, 2151069000 is an apocalyptic number.

151069000 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 151069000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186076800).

151069000 is an abundant number, since it is smaller than the sum of its proper divisors (221084600).

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

151069000 is a wasteful number, since it uses less digits than its factorization.

151069000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7991 (or 7977 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 151069000 is about 12291.0129769682. The cubic root of 151069000 is about 532.5885002091.

The spelling of 151069000 in words is "one hundred fifty-one million, sixty-nine 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 7951 9500 15902 19000 31804 39755 63608 79510 151069 159020 198775 302138 318040 397550 604276 755345 795100 993875 1208552 1510690 1590200 1987750 3021380 3776725 3975500 6042760 7553450 7951000 15106900 18883625 30213800 37767250 75534500 151069000