Search a number
-
+
151664032 = 25131931889
BaseRepresentation
bin10010000101000…
…11010110100000
3101120101022221101
421002203112200
5302311222112
623014404144
73521060122
oct1102432640
9346338841
10151664032
1178679483
1242960654
1325562440
14161dd212
15d4ac757
hex90a35a0

151664032 has 48 divisors (see below), whose sum is σ = 323394120. Its totient is φ = 69599232.

The previous prime is 151664003. The next prime is 151664033. The reversal of 151664032 is 230466151.

It can be written as a sum of positive squares in 4 ways, for example, as 83832336 + 67831696 = 9156^2 + 8236^2 .

It is not an unprimeable number, because it can be changed into a prime (151664033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79344 + ... + 81232.

Almost surely, 2151664032 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 151664032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161697060).

151664032 is an abundant number, since it is smaller than the sum of its proper divisors (171730088).

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

151664032 is a wasteful number, since it uses less digits than its factorization.

151664032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 151664032 is about 12315.1951669472. The cubic root of 151664032 is about 533.2868390024.

The spelling of 151664032 in words is "one hundred fifty-one million, six hundred sixty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 193 208 386 416 772 1544 1889 2509 3088 3778 5018 6176 7556 10036 15112 20072 24557 30224 40144 49114 60448 80288 98228 196456 364577 392912 729154 785824 1458308 2916616 4739501 5833232 9479002 11666464 18958004 37916008 75832016 151664032