Search a number
-
+
106374330 = 23353171179
BaseRepresentation
bin1100101011100…
…10010010111010
321102011101011000
412111302102322
5204212434310
614315545430
72431111146
oct625622272
9242141130
10106374330
1155055677
122b75b276
1319065cba
14101b0226
1595134c0
hex65724ba

106374330 has 128 divisors (see below), whose sum is σ = 298598400. Its totient is φ = 26913600.

The previous prime is 106374283. The next prime is 106374341. The reversal of 106374330 is 33473601.

It is a happy number.

It is a super-2 number, since 2×1063743302 = 22630996165897800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106374294 and 106374303.

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, 594181 + ... + 594359.

It is an arithmetic number, because the mean of its divisors is an integer number (2332800).

Almost surely, 2106374330 is an apocalyptic number.

106374330 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 106374330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149299200).

106374330 is an abundant number, since it is smaller than the sum of its proper divisors (192224070).

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

106374330 is a wasteful number, since it uses less digits than its factorization.

106374330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 106374330 is about 10313.7931916439. The cubic root of 106374330 is about 473.8187898894.

The spelling of 106374330 in words is "one hundred six million, three hundred seventy-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 71 90 93 135 142 155 179 186 213 270 279 310 355 358 426 465 537 558 639 710 837 895 930 1065 1074 1278 1395 1611 1674 1790 1917 2130 2201 2685 2790 3195 3222 3834 4185 4402 4833 5370 5549 6390 6603 8055 8370 9585 9666 11005 11098 12709 13206 16110 16647 19170 19809 22010 24165 25418 27745 33015 33294 38127 39618 48330 49941 55490 59427 63545 66030 76254 83235 99045 99882 114381 118854 127090 149823 166470 190635 198090 228762 249705 297135 299646 343143 381270 393979 499410 571905 594270 686286 749115 787958 1143810 1181937 1498230 1715715 1969895 2363874 3431430 3545811 3939790 5909685 7091622 10637433 11819370 17729055 21274866 35458110 53187165 106374330