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30601872 = 2432724337
BaseRepresentation
bin111010010111…
…1001010010000
32010120201212200
41310233022100
530313224442
63011523200
7521053200
oct164571220
963521780
1030601872
1116301704
12a2b9500
136455c22
1440c8400
152a4734c
hex1d2f290

30601872 has 90 divisors (see below), whose sum is σ = 99648198. Its totient is φ = 8741376.

The previous prime is 30601871. The next prime is 30601877. The reversal of 30601872 is 27810603.

It can be written as a sum of positive squares in only one way, i.e., 16941456 + 13660416 = 4116^2 + 3696^2 .

It is not an unprimeable number, because it can be changed into a prime (30601871) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4888 + ... + 9224.

Almost surely, 230601872 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 30601872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49824099).

30601872 is an abundant number, since it is smaller than the sum of its proper divisors (69046326).

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

30601872 is a wasteful number, since it uses less digits than its factorization.

30601872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4365 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 30601872 is about 5531.8958775451. The cubic root of 30601872 is about 312.7874585884.

The spelling of 30601872 in words is "thirty million, six hundred one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 4337 7056 8674 13011 17348 26022 30359 34696 39033 52044 60718 69392 78066 91077 104088 121436 156132 182154 208176 212513 242872 273231 312264 364308 425026 485744 546462 624528 637539 728616 850052 1092924 1275078 1457232 1700104 1912617 2185848 2550156 3400208 3825234 4371696 5100312 7650468 10200624 15300936 30601872