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151990300 = 225271119739
BaseRepresentation
bin10010000111100…
…11000000011100
3101120222220111101
421003303000130
5302402142200
623025402444
73523616260
oct1103630034
9346886441
10151990300
1178881620
1242a99424
1325647ab7
14162860a0
15d52426a
hex90f301c

151990300 has 72 divisors (see below), whose sum is σ = 411223680. Its totient is φ = 47371200.

The previous prime is 151990283. The next prime is 151990301. The reversal of 151990300 is 3099151.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151990301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2170 + ... + 17569.

It is an arithmetic number, because the mean of its divisors is an integer number (5711440).

Almost surely, 2151990300 is an apocalyptic number.

151990300 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 151990300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205611840).

151990300 is an abundant number, since it is smaller than the sum of its proper divisors (259233380).

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

151990300 is a wasteful number, since it uses less digits than its factorization.

151990300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19771 (or 19764 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 28.

The square root of 151990300 is about 12328.4346127154. The cubic root of 151990300 is about 533.6689770924.

It can be divided in two parts, 1519 and 90300, that added together give a palindrome (91819).

The spelling of 151990300 in words is "one hundred fifty-one million, nine hundred ninety thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 19739 39478 78956 98695 138173 197390 217129 276346 394780 434258 493475 552692 690865 868516 986950 1085645 1381730 1519903 1973900 2171290 2763460 3039806 3454325 4342580 5428225 6079612 6908650 7599515 10856450 13817300 15199030 21712900 30398060 37997575 75995150 151990300