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151430032 = 2413739973
BaseRepresentation
bin10010000011010…
…10001110010000
3101112221102221201
421001222032100
5302231230112
623005400544
73516063655
oct1101521620
9345842851
10151430032
1178529696
1242869154
13254aca90
141617bc2c
15d463257
hex906a390

151430032 has 40 divisors (see below), whose sum is σ = 320324984. Its totient is φ = 68926464.

The previous prime is 151430017. The next prime is 151430077. The reversal of 151430032 is 230034151.

It can be written as a sum of positive squares in 4 ways, for example, as 41616 + 151388416 = 204^2 + 12304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 151429991 and 151430009.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10198 + ... + 20170.

Almost surely, 2151430032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160162492).

151430032 is an abundant number, since it is smaller than the sum of its proper divisors (168894952).

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

151430032 is a wasteful number, since it uses less digits than its factorization.

151430032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10067 (or 10061 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 151430032 is about 12305.6910411403. The cubic root of 151430032 is about 533.0124312603.

Adding to 151430032 its reverse (230034151), we get a palindrome (381464183).

The spelling of 151430032 in words is "one hundred fifty-one million, four hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 73 104 146 208 292 584 949 1168 1898 3796 7592 9973 15184 19946 39892 79784 129649 159568 259298 518596 728029 1037192 1456058 2074384 2912116 5824232 9464377 11648464 18928754 37857508 75715016 151430032