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152145450 = 232521991699
BaseRepresentation
bin10010001000110…
…00111000101010
3101121021210022200
421010120320222
5302422123300
623033001030
73525133512
oct1104307052
9347253280
10152145450
1178978146
1242b53176
13256a05c2
14162c6842
15d555200
hex9118e2a

152145450 has 72 divisors (see below), whose sum is σ = 411060000. Its totient is φ = 40344480.

The previous prime is 152145353. The next prime is 152145451. The reversal of 152145450 is 54541251.

152145450 = 11332 + 11342 + ... + 12402.

152145450 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (152145451) 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 35 ways as a sum of consecutive naturals, for example, 88701 + ... + 90399.

Almost surely, 2152145450 is an apocalyptic number.

152145450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 152145450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205530000).

152145450 is an abundant number, since it is smaller than the sum of its proper divisors (258914550).

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

152145450 is a wasteful number, since it uses less digits than its factorization.

152145450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 152145450 is about 12334.7253718922. The cubic root of 152145450 is about 533.8505031161.

It can be divided in two parts, 1521 and 45450, that added together give a triangular number (46971 = T306).

The spelling of 152145450 in words is "one hundred fifty-two million, one hundred forty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 199 225 398 450 597 995 1194 1699 1791 1990 2985 3398 3582 4975 5097 5970 8495 8955 9950 10194 14925 15291 16990 17910 25485 29850 30582 42475 44775 50970 76455 84950 89550 127425 152910 254850 338101 382275 676202 764550 1014303 1690505 2028606 3042909 3381010 5071515 6085818 8452525 10143030 15214545 16905050 25357575 30429090 50715150 76072725 152145450