Search a number
-
+
153761064 = 23347271503
BaseRepresentation
bin10010010101000…
…11010100101000
3101201022212112020
421022203110220
5303330323224
623131344440
73544642662
oct1112432450
9351285466
10153761064
1179880a66
12435b2120
1325b17aa2
14165c7532
15d773c79
hex92a3528

153761064 has 64 divisors (see below), whose sum is σ = 394813440. Its totient is φ = 49878720.

The previous prime is 153761063. The next prime is 153761089. The reversal of 153761064 is 460167351.

It is not an unprimeable number, because it can be changed into a prime (153761063) 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 15 ways as a sum of consecutive naturals, for example, 305437 + ... + 305939.

It is an arithmetic number, because the mean of its divisors is an integer number (6168960).

Almost surely, 2153761064 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 153761064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720).

153761064 is an abundant number, since it is smaller than the sum of its proper divisors (241052376).

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

153761064 is a wasteful number, since it uses less digits than its factorization.

153761064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 153761064 is about 12400.0429031516. The cubic root of 153761064 is about 535.7334848637.

The spelling of 153761064 in words is "one hundred fifty-three million, seven hundred sixty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 271 282 376 503 542 564 813 1006 1084 1128 1509 1626 2012 2168 3018 3252 4024 6036 6504 12072 12737 23641 25474 38211 47282 50948 70923 76422 94564 101896 136313 141846 152844 189128 272626 283692 305688 408939 545252 567384 817878 1090504 1635756 3271512 6406711 12813422 19220133 25626844 38440266 51253688 76880532 153761064