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150031700 = 225271316487
BaseRepresentation
bin10001111000101…
…00110101010100
3101110022101210122
420330110311110
5301402003300
622515411112
73501151130
oct1074246524
9343271718
10150031700
1177764045
12422b3a98
1325110470
1415cd63c0
15d288c85
hex8f14d54

150031700 has 72 divisors (see below), whose sum is σ = 400724352. Its totient is φ = 47479680.

The previous prime is 150031697. The next prime is 150031709. The reversal of 150031700 is 7130051.

It is a super-2 number, since 2×1500317002 = 45019022009780000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150031709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 857 + ... + 17343.

It is an arithmetic number, because the mean of its divisors is an integer number (5565616).

Almost surely, 2150031700 is an apocalyptic number.

150031700 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 150031700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200362176).

150031700 is an abundant number, since it is smaller than the sum of its proper divisors (250692652).

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

150031700 is a wasteful number, since it uses less digits than its factorization.

150031700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16521 (or 16514 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 150031700 is about 12248.7427926298. The cubic root of 150031700 is about 531.3667111512.

Adding to 150031700 its reverse (7130051), we get a palindrome (157161751).

The spelling of 150031700 in words is "one hundred fifty million, thirty-one thousand, seven hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 16487 32974 65948 82435 115409 164870 214331 230818 329740 412175 428662 461636 577045 824350 857324 1071655 1154090 1500317 1648700 2143310 2308180 2885225 3000634 4286620 5358275 5770450 6001268 7501585 10716550 11540900 15003170 21433100 30006340 37507925 75015850 150031700