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146522680 = 23519273139
BaseRepresentation
bin10001011101111…
…00001000111000
3101012201010022221
420232330020320
5300002211210
622312253424
73426264553
oct1056741070
9335633287
10146522680
1175787727
12410a1274
1324482215
141566169a
15cce41da
hex8bbc238

146522680 has 96 divisors (see below), whose sum is σ = 355244400. Its totient is φ = 54369792.

The previous prime is 146522669. The next prime is 146522683. The reversal of 146522680 is 86225641.

146522680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146522683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054051 + ... + 1054189.

Almost surely, 2146522680 is an apocalyptic number.

146522680 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 146522680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177622200).

146522680 is an abundant number, since it is smaller than the sum of its proper divisors (208721720).

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

146522680 is a wasteful number, since it uses less digits than its factorization.

146522680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 146522680 is about 12104.6553028164. The cubic root of 146522680 is about 527.1913605212.

The spelling of 146522680 in words is "one hundred forty-six million, five hundred twenty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 73 76 95 139 146 152 190 278 292 361 365 380 556 584 695 722 730 760 1112 1387 1390 1444 1460 1805 2641 2774 2780 2888 2920 3610 5282 5548 5560 6935 7220 10147 10564 11096 13205 13870 14440 20294 21128 26353 26410 27740 40588 50179 50735 52706 52820 55480 81176 100358 101470 105412 105640 131765 192793 200716 202940 210824 250895 263530 385586 401432 405880 501790 527060 771172 963965 1003580 1054120 1542344 1927930 2007160 3663067 3855860 7326134 7711720 14652268 18315335 29304536 36630670 73261340 146522680