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5913216 = 27332959
BaseRepresentation
bin10110100011101010000000
3102010102102000
4112203222000
53003210331
6330424000
7101155461
oct26435200
912112360
105913216
113379761
121b92000
1312c065a
14adcd68
157bc0e6
hex5a3a80

5913216 has 128 divisors (see below), whose sum is σ = 18360000. Its totient is φ = 1870848.

The previous prime is 5913203. The next prime is 5913221. The reversal of 5913216 is 6123195.

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

It is a super-2 number, since 2×59132162 = 69932246925312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5913216.

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, 100195 + ... + 100253.

Almost surely, 25913216 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 5913216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9180000).

5913216 is an abundant number, since it is smaller than the sum of its proper divisors (12446784).

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

5913216 is a wasteful number, since it uses less digits than its factorization.

5913216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 93 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 5913216 is about 2431.7105090861. The cubic root of 5913216 is about 180.8317066590.

The spelling of 5913216 in words is "five million, nine hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 59 64 72 87 96 108 116 118 128 144 174 177 192 216 232 236 261 288 348 354 384 432 464 472 522 531 576 696 708 783 864 928 944 1044 1062 1152 1392 1416 1566 1593 1711 1728 1856 1888 2088 2124 2784 2832 3132 3186 3422 3456 3712 3776 4176 4248 5133 5568 5664 6264 6372 6844 7552 8352 8496 10266 11136 11328 12528 12744 13688 15399 16704 16992 20532 22656 25056 25488 27376 30798 33408 33984 41064 46197 50112 50976 54752 61596 67968 82128 92394 100224 101952 109504 123192 164256 184788 203904 219008 246384 328512 369576 492768 657024 739152 985536 1478304 1971072 2956608 5913216