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141930624 = 2731133601
BaseRepresentation
bin10000111010110…
…11000010000000
3100220001211012210
420131123002000
5242313234444
622030022120
73342250623
oct1035330200
9326054183
10141930624
1173130640
123b647940
1323535024
1414bc7dba
15c6d87b9
hex875b080

141930624 has 64 divisors (see below), whose sum is σ = 411288480. Its totient is φ = 43008000.

The previous prime is 141930541. The next prime is 141930629. The reversal of 141930624 is 426039141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 141930591 and 141930600.

It is not an unprimeable number, because it can be changed into a prime (141930629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12577 + ... + 21024.

Almost surely, 2141930624 is an apocalyptic number.

It is an amenable number.

141930624 is an abundant number, since it is smaller than the sum of its proper divisors (269357856).

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

141930624 is a wasteful number, since it uses less digits than its factorization.

141930624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33629 (or 33617 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 141930624 is about 11913.4639798843. The cubic root of 141930624 is about 521.6253679308.

Adding to 141930624 its reverse (426039141), we get a palindrome (567969765).

The spelling of 141930624 in words is "one hundred forty-one million, nine hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 33601 67202 100803 134404 201606 268808 369611 403212 537616 739222 806424 1075232 1108833 1478444 1612848 2150464 2217666 2956888 3225696 4300928 4435332 5913776 6451392 8870664 11827552 12902784 17741328 23655104 35482656 47310208 70965312 141930624