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730000152 = 233273146723
BaseRepresentation
bin101011100000101…
…110101100011000
31212212121211221200
4223200232230120
52443340001102
6200234234200
724042620220
oct5340565430
91785554850
10730000152
1134507aa12
12184585960
13b831446b
146cd47080
154414b51c
hex2b82eb18

730000152 has 96 divisors (see below), whose sum is σ = 2332462080. Its totient is φ = 201839040.

The previous prime is 730000133. The next prime is 730000153. The reversal of 730000152 is 251000037.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730000153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7738 + ... + 38985.

It is an arithmetic number, because the mean of its divisors is an integer number (24296480).

Almost surely, 2730000152 is an apocalyptic number.

730000152 is a gapful number since it is divisible by the number (72) 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 730000152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166231040).

730000152 is an abundant number, since it is smaller than the sum of its proper divisors (1602461928).

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

730000152 is a wasteful number, since it uses less digits than its factorization.

730000152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46773 (or 46766 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 730000152 is about 27018.5149850986. The cubic root of 730000152 is about 900.4113971037.

Adding to 730000152 its reverse (251000037), we get a palindrome (981000189).

The spelling of 730000152 in words is "seven hundred thirty million, one hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 15624 46723 93446 140169 186892 280338 327061 373784 420507 560676 654122 841014 981183 1121352 1308244 1448413 1682028 1962366 2616488 2896826 2943549 3364056 3924732 4345239 5793652 5887098 7849464 8690478 10138891 11587304 11774196 13035717 17380956 20277782 23548392 26071434 30416673 34761912 40555564 52142868 60833346 81111128 91250019 104285736 121666692 182500038 243333384 365000076 730000152