Search a number
-
+
151608672 = 25366797
BaseRepresentation
bin10010000100101…
…01110101100000
3101120021112000000
421002111311200
5302302434142
623013300000
73520436535
oct1102256540
9346245000
10151608672
1178640926
1242934600
1325543197
14161c6d8c
15d49b14c
hex9095d60

151608672 has 168 divisors, whose sum is σ = 458876376. Its totient is φ = 49268736.

The previous prime is 151608637. The next prime is 151608683. The reversal of 151608672 is 276806151.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 1562928 + ... + 1563024.

It is an arithmetic number, because the mean of its divisors is an integer number (2731407).

Almost surely, 2151608672 is an apocalyptic number.

151608672 is a gapful number since it is divisible by the number (12) 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 151608672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229438188).

151608672 is an abundant number, since it is smaller than the sum of its proper divisors (307267704).

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

151608672 is an frugal number, since it uses more digits than its factorization.

151608672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 151608672 is about 12312.9473319754. The cubic root of 151608672 is about 533.2219447933.

It can be divided in two parts, 15160 and 8672, that added together give a palindrome (23832).

The spelling of 151608672 in words is "one hundred fifty-one million, six hundred eight thousand, six hundred seventy-two".