Search a number
-
+
106304604 = 223717229151
BaseRepresentation
bin1100101011000…
…01010001011100
321102000211111120
412111201101130
5204203221404
614314250540
72430400650
oct625412134
9242024446
10106304604
115500824a
122b726a50
1319040343
1410192a60
1594ec9d9
hex656145c

106304604 has 144 divisors (see below), whose sum is σ = 313582080. Its totient is φ = 27417600.

The previous prime is 106304603. The next prime is 106304617. The reversal of 106304604 is 406403601.

It is a super-2 number, since 2×1063046042 = 22601337663193632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106304603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703929 + ... + 704079.

Almost surely, 2106304604 is an apocalyptic number.

106304604 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106304604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156791040).

106304604 is an abundant number, since it is smaller than the sum of its proper divisors (207277476).

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

106304604 is a wasteful number, since it uses less digits than its factorization.

106304604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 106304604 is about 10310.4124068827. The cubic root of 106304604 is about 473.7152413797.

The spelling of 106304604 in words is "one hundred six million, three hundred four thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 29 34 42 51 58 68 84 87 102 116 119 151 174 203 204 238 289 302 348 357 406 453 476 493 578 604 609 714 812 867 906 986 1057 1156 1218 1428 1479 1734 1812 1972 2023 2114 2436 2567 2958 3171 3451 3468 4046 4228 4379 5134 5916 6069 6342 6902 7701 8092 8381 8758 10268 10353 12138 12684 13137 13804 15402 16762 17516 17969 20706 24276 25143 26274 30653 30804 33524 35938 41412 43639 50286 52548 53907 58667 61306 71876 74443 87278 91959 100572 107814 117334 122612 130917 148886 174556 176001 183918 215628 223329 234668 261834 297772 305473 352002 367836 446658 521101 523668 610946 704004 893316 916419 1042202 1221892 1265531 1563303 1832838 2084404 2531062 3126606 3665676 3796593 5062124 6253212 7593186 8858717 15186372 17717434 26576151 35434868 53152302 106304604