Search a number
-
+
106450470 = 23357151373
BaseRepresentation
bin1100101100001…
…00111000100110
321102022020121000
412112010320212
5204222403340
614321334130
72431546140
oct626047046
9242266530
10106450470
11550a78a5
122b797346
1319091859
14101cdc90
15952ad30
hex6584e26

106450470 has 128 divisors (see below), whose sum is σ = 327444480. Its totient is φ = 24105600.

The previous prime is 106450459. The next prime is 106450493. The reversal of 106450470 is 74054601.

106450470 is a `hidden beast` number, since 10 + 645 + 0 + 4 + 7 + 0 = 666.

It is a super-2 number, since 2×1064504702 = 22663405126441800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 285204 + ... + 285576.

It is an arithmetic number, because the mean of its divisors is an integer number (2558160).

Almost surely, 2106450470 is an apocalyptic number.

106450470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106450470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163722240).

106450470 is an abundant number, since it is smaller than the sum of its proper divisors (220994010).

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

106450470 is a wasteful number, since it uses less digits than its factorization.

106450470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 106450470 is about 10317.4837048575. The cubic root of 106450470 is about 473.9318120146.

The spelling of 106450470 in words is "one hundred six million, four hundred fifty thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 151 189 210 270 302 315 373 378 453 630 746 755 906 945 1057 1119 1359 1510 1865 1890 2114 2238 2265 2611 2718 3171 3357 3730 4077 4530 5222 5285 5595 6342 6714 6795 7833 8154 9513 10071 10570 11190 13055 13590 15666 15855 16785 19026 20142 20385 23499 26110 28539 31710 33570 39165 40770 46998 47565 50355 56323 57078 70497 78330 95130 100710 112646 117495 140994 142695 168969 234990 281615 285390 337938 352485 394261 506907 563230 704970 788522 844845 1013814 1182783 1520721 1689690 1971305 2365566 2534535 3041442 3548349 3942610 5069070 5913915 7096698 7603605 10645047 11827830 15207210 17741745 21290094 35483490 53225235 106450470