Search a number
-
+
146923776 = 2832431483
BaseRepresentation
bin10001100000111…
…10000100000000
3101020110111112100
420300132010000
5300103030101
622325030400
73432555126
oct1060360400
9336414470
10146923776
1175a3100a
1241255400
132459295c
1415727916
15cd72e86
hex8c1e100

146923776 has 108 divisors (see below), whose sum is σ = 433761328. Its totient is φ = 47803392.

The previous prime is 146923771. The next prime is 146923783. The reversal of 146923776 is 677329641.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (146923771) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98331 + ... + 99813.

Almost surely, 2146923776 is an apocalyptic number.

146923776 is a gapful number since it is divisible by the number (16) 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 146923776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216880664).

146923776 is an abundant number, since it is smaller than the sum of its proper divisors (286837552).

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

146923776 is a wasteful number, since it uses less digits than its factorization.

146923776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1531 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 146923776 is about 12121.2118206061. The cubic root of 146923776 is about 527.6719725591.

The spelling of 146923776 in words is "one hundred forty-six million, nine hundred twenty-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 516 576 688 768 774 1032 1152 1376 1483 1548 2064 2304 2752 2966 3096 4128 4449 5504 5932 6192 8256 8898 11008 11864 12384 13347 16512 17796 23728 24768 26694 33024 35592 47456 49536 53388 63769 71184 94912 99072 106776 127538 142368 189824 191307 213552 255076 284736 379648 382614 427104 510152 569472 573921 765228 854208 1020304 1138944 1147842 1530456 1708416 2040608 2295684 3060912 3416832 4081216 4591368 6121824 8162432 9182736 12243648 16324864 18365472 24487296 36730944 48974592 73461888 146923776