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152245104 = 2431132383
BaseRepresentation
bin10010001001100…
…01001101110000
3101121110212000120
421010301031300
5302433320404
623035050240
73526030164
oct1104611560
9347425016
10152245104
1178a36000
1242ba0980
1325706a7b
1416310ca4
15d5749d9
hex9131370

152245104 has 80 divisors (see below), whose sum is σ = 432781824. Its totient is φ = 46115520.

The previous prime is 152245103. The next prime is 152245109. The reversal of 152245104 is 401542251.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152245103) 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, 62697 + ... + 65079.

Almost surely, 2152245104 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 152245104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216390912).

152245104 is an abundant number, since it is smaller than the sum of its proper divisors (280536720).

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

152245104 is a wasteful number, since it uses less digits than its factorization.

152245104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 152245104 is about 12338.7642817261. The cubic root of 152245104 is about 533.9670335524.

Adding to 152245104 its reverse (401542251), we get a palindrome (553787355).

The spelling of 152245104 in words is "one hundred fifty-two million, two hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1331 1452 1936 2383 2662 2904 3993 4766 5324 5808 7149 7986 9532 10648 14298 15972 19064 21296 26213 28596 31944 38128 52426 57192 63888 78639 104852 114384 157278 209704 288343 314556 419408 576686 629112 865029 1153372 1258224 1730058 2306744 3171773 3460116 4613488 6343546 6920232 9515319 12687092 13840464 19030638 25374184 38061276 50748368 76122552 152245104