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151300000 = 25551789
BaseRepresentation
bin10010000010010…
…10011110100000
3101112200211120201
421001022132200
5302213100000
623002514544
73515012605
oct1101123640
9345624521
10151300000
117844aa25
1242805a54
1325465837
14161466ac
15d43996a
hex904a7a0

151300000 has 144 divisors (see below), whose sum is σ = 398646360. Its totient is φ = 56320000.

The previous prime is 151299997. The next prime is 151300027. The reversal of 151300000 is 3151.

It can be written as a sum of positive squares in 12 ways, for example, as 72658576 + 78641424 = 8524^2 + 8868^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 151300000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1699956 + ... + 1700044.

Almost surely, 2151300000 is an apocalyptic number.

151300000 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 151300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199323180).

151300000 is an abundant number, since it is smaller than the sum of its proper divisors (247346360).

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

151300000 is an frugal number, since it uses more digits than its factorization.

151300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 151300000 is about 12300.4064973480. The cubic root of 151300000 is about 532.8598227820.

Adding to 151300000 its reverse (3151), we get a palindrome (151303151).

The spelling of 151300000 in words is "one hundred fifty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 89 100 125 136 160 170 178 200 250 272 340 356 400 425 445 500 544 625 680 712 800 850 890 1000 1250 1360 1424 1513 1700 1780 2000 2125 2225 2500 2720 2848 3026 3125 3400 3560 4000 4250 4450 5000 6052 6250 6800 7120 7565 8500 8900 10000 10625 11125 12104 12500 13600 14240 15130 17000 17800 20000 21250 22250 24208 25000 30260 34000 35600 37825 42500 44500 48416 50000 53125 55625 60520 68000 71200 75650 85000 89000 100000 106250 111250 121040 151300 170000 178000 189125 212500 222500 242080 278125 302600 340000 356000 378250 425000 445000 556250 605200 756500 850000 890000 945625 1112500 1210400 1513000 1700000 1780000 1891250 2225000 3026000 3782500 4450000 4728125 6052000 7565000 8900000 9456250 15130000 18912500 30260000 37825000 75650000 151300000