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152730624 = 210383599
BaseRepresentation
bin10010001101001…
…11110000000000
3101122101112000210
421012213300000
5303044334444
623053314120
73533121534
oct1106476000
9348345023
10152730624
1179237862
1243195940
1325846a67
14163d9bc4
15d61d7b9
hex91a7c00

152730624 has 88 divisors (see below), whose sum is σ = 412675200. Its totient is φ = 50212864.

The previous prime is 152730619. The next prime is 152730631. The reversal of 152730624 is 426037251.

It is a junction number, because it is equal to n+sod(n) for n = 152730591 and 152730600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254677 + ... + 255275.

Almost surely, 2152730624 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 152730624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206337600).

152730624 is an abundant number, since it is smaller than the sum of its proper divisors (259944576).

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

152730624 is an equidigital number, since it uses as much as digits as its factorization.

152730624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 152730624 is about 12358.4232003925. The cubic root of 152730624 is about 534.5340502996.

Adding to 152730624 its reverse (426037251), we get a palindrome (578767875).

The spelling of 152730624 in words is "one hundred fifty-two million, seven hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 512 599 664 768 996 1024 1198 1328 1536 1797 1992 2396 2656 3072 3594 3984 4792 5312 7188 7968 9584 10624 14376 15936 19168 21248 28752 31872 38336 42496 49717 57504 63744 76672 84992 99434 115008 127488 149151 153344 198868 230016 254976 298302 306688 397736 460032 596604 613376 795472 920064 1193208 1590944 1840128 2386416 3181888 4772832 6363776 9545664 12727552 19091328 25455104 38182656 50910208 76365312 152730624