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103319064 = 23341783113
BaseRepresentation
bin1100010100010…
…00011000011000
321012102011010000
412022020120120
5202422202224
614130253000
72363124522
oct612103030
9235364100
10103319064
1153359162
122a727160
1318536454
14da16a12
15910d0c9
hex6288618

103319064 has 160 divisors (see below), whose sum is σ = 312847920. Its totient is φ = 31739904.

The previous prime is 103319053. The next prime is 103319087. The reversal of 103319064 is 460913301.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 914272 + ... + 914384.

Almost surely, 2103319064 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 103319064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156423960).

103319064 is an abundant number, since it is smaller than the sum of its proper divisors (209528856).

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

103319064 is a wasteful number, since it uses less digits than its factorization.

103319064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 103319064 is about 10164.5985656100. The cubic root of 103319064 is about 469.2383377992.

The spelling of 103319064 in words is "one hundred three million, three hundred nineteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 83 102 108 113 136 153 162 166 204 216 226 249 306 324 332 339 408 452 459 498 612 648 664 678 747 904 918 996 1017 1224 1356 1377 1411 1494 1836 1921 1992 2034 2241 2712 2754 2822 2988 3051 3672 3842 4068 4233 4482 5508 5644 5763 5976 6102 6723 7684 8136 8466 8964 9153 9379 11016 11288 11526 12204 12699 13446 15368 16932 17289 17928 18306 18758 23052 24408 25398 26892 28137 33864 34578 36612 37516 38097 46104 50796 51867 53784 56274 69156 73224 75032 76194 84411 101592 103734 112548 114291 138312 152388 155601 159443 168822 207468 225096 228582 253233 304776 311202 318886 337644 414936 457164 478329 506466 622404 637772 675288 759699 914328 956658 1012932 1244808 1275544 1434987 1519398 1913316 2025864 2869974 3038796 3826632 4304961 5739948 6077592 8609922 11479896 12914883 17219844 25829766 34439688 51659532 103319064