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103468464 = 24321183787
BaseRepresentation
bin1100010101011…
…00110110110000
321012200202001100
412022230312300
5202441442324
614133404400
72364316221
oct612546660
9235622040
10103468464
1153450430
122a799700
1318589458
14da55248
15913c4c9
hex62acdb0

103468464 has 120 divisors (see below), whose sum is σ = 320104512. Its totient is φ = 30936960.

The previous prime is 103468459. The next prime is 103468487. The reversal of 103468464 is 464864301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131079 + ... + 131865.

Almost surely, 2103468464 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 103468464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160052256).

103468464 is an abundant number, since it is smaller than the sum of its proper divisors (216636048).

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

103468464 is a wasteful number, since it uses less digits than its factorization.

103468464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 103468464 is about 10171.9449467641. The cubic root of 103468464 is about 469.4644027082.

The spelling of 103468464 in words is "one hundred three million, four hundred sixty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 83 88 99 132 144 166 176 198 249 264 332 396 498 528 664 747 787 792 913 996 1328 1494 1574 1584 1826 1992 2361 2739 2988 3148 3652 3984 4722 5478 5976 6296 7083 7304 8217 8657 9444 10956 11952 12592 14166 14608 16434 17314 18888 21912 25971 28332 32868 34628 37776 43824 51942 56664 65321 65736 69256 77913 103884 113328 130642 131472 138512 155826 195963 207768 261284 311652 391926 415536 522568 587889 623304 718531 783852 1045136 1175778 1246608 1437062 1567704 2155593 2351556 2874124 3135408 4311186 4703112 5748248 6466779 8622372 9406224 11496496 12933558 17244744 25867116 34489488 51734232 103468464