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146969680 = 245111329443
BaseRepresentation
bin10001100001010…
…01010001010000
3101020112211111111
420300221101100
5300111012210
622330023104
73433136014
oct1060512120
9336484444
10146969680
1175a62550
1241277a94
13245aa810
141573a544
15cd8188a
hex8c29450

146969680 has 160 divisors (see below), whose sum is σ = 416223360. Its totient is φ = 47523840.

The previous prime is 146969663. The next prime is 146969687. The reversal of 146969680 is 86969641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146969687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331539 + ... + 331981.

It is an arithmetic number, because the mean of its divisors is an integer number (2601396).

Almost surely, 2146969680 is an apocalyptic number.

146969680 is a gapful number since it is divisible by the number (10) 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 146969680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208111680).

146969680 is an abundant number, since it is smaller than the sum of its proper divisors (269253680).

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

146969680 is a wasteful number, since it uses less digits than its factorization.

146969680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 49.

The square root of 146969680 is about 12123.1052127745. The cubic root of 146969680 is about 527.7269210789.

The spelling of 146969680 in words is "one hundred forty-six million, nine hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 29 40 44 52 55 58 65 80 88 104 110 116 130 143 145 176 208 220 232 260 286 290 319 377 440 443 464 520 572 580 638 715 754 880 886 1040 1144 1160 1276 1430 1508 1595 1772 1885 2215 2288 2320 2552 2860 3016 3190 3544 3770 4147 4430 4873 5104 5720 5759 6032 6380 7088 7540 8294 8860 9746 11440 11518 12760 12847 15080 16588 17720 19492 20735 23036 24365 25520 25694 28795 30160 33176 35440 38984 41470 46072 48730 51388 57590 63349 64235 66352 77968 82940 92144 97460 102776 115180 126698 128470 141317 165880 167011 194920 205552 230360 253396 256940 282634 316745 331760 334022 389840 460720 506792 513880 565268 633490 668044 706585 835055 1013584 1027760 1130536 1266980 1336088 1413170 1670110 1837121 2261072 2533960 2672176 2826340 3340220 3674242 5067920 5652680 6680440 7348484 9185605 11305360 13360880 14696968 18371210 29393936 36742420 73484840 146969680