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1601427328 = 27294379127
BaseRepresentation
bin101111101110011…
…1101011110000000
311010121100221022021
41133130331132000
511234431133303
6422524051224
754453623224
oct13734753600
94117327267
101601427328
11751a67066
12388393b14
131c6a15647
14112986784
15958d1ebd
hex5f73d780

1601427328 has 128 divisors (see below), whose sum is σ = 3446784000. Its totient is φ = 739694592.

The previous prime is 1601427313. The next prime is 1601427337. The reversal of 1601427328 is 8237241061.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1601427293 and 1601427302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12609601 + ... + 12609727.

It is an arithmetic number, because the mean of its divisors is an integer number (26928000).

Almost surely, 21601427328 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 1601427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723392000).

1601427328 is an abundant number, since it is smaller than the sum of its proper divisors (1845356672).

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

1601427328 is a wasteful number, since it uses less digits than its factorization.

1601427328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 1601427328 is about 40017.8376227402. The cubic root of 1601427328 is about 1169.9547862821.

Adding to 1601427328 its reverse (8237241061), we get a palindrome (9838668389).

The spelling of 1601427328 in words is "one billion, six hundred one million, four hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 29 32 43 58 64 79 86 116 127 128 158 172 232 254 316 344 464 508 632 688 928 1016 1247 1264 1376 1856 2032 2291 2494 2528 2752 3397 3683 3712 4064 4582 4988 5056 5461 5504 6794 7366 8128 9164 9976 10033 10112 10922 13588 14732 16256 18328 19952 20066 21844 27176 29464 36656 39904 40132 43688 54352 58928 73312 79808 80264 87376 98513 108704 117856 146624 158369 159616 160528 174752 197026 217408 235712 290957 293248 316738 321056 349504 394052 431419 434816 471424 581914 633476 642112 699008 788104 862838 1163828 1266952 1284224 1576208 1725676 2327656 2533904 3152416 3451352 4655312 5067808 6304832 6902704 9310624 10135616 12511151 12609664 13805408 18621248 20271232 25022302 27610816 37242496 50044604 55221632 100089208 200178416 400356832 800713664 1601427328