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146497980 = 2235191071201
BaseRepresentation
bin10001011101101…
…10000110111100
3101012122212110010
420232312012330
5300000413410
622311543220
73426132546
oct1056660674
9335585403
10146497980
1175770112
124108ab10
1324473bc5
1415656696
15ccdbc20
hex8bb61bc

146497980 has 96 divisors (see below), whose sum is σ = 436181760. Its totient is φ = 36633600.

The previous prime is 146497951. The next prime is 146497987. The reversal of 146497980 is 89794641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146497987) 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, 121380 + ... + 122580.

It is an arithmetic number, because the mean of its divisors is an integer number (4543560).

Almost surely, 2146497980 is an apocalyptic number.

146497980 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 146497980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218090880).

146497980 is an abundant number, since it is smaller than the sum of its proper divisors (289683780).

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

146497980 is a wasteful number, since it uses less digits than its factorization.

146497980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 146497980 is about 12103.6349911917. The cubic root of 146497980 is about 527.1617351682.

The spelling of 146497980 in words is "one hundred forty-six million, four hundred ninety-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 107 114 190 214 228 285 321 380 428 535 570 642 1070 1140 1201 1284 1605 2033 2140 2402 3210 3603 4066 4804 6005 6099 6420 7206 8132 10165 12010 12198 14412 18015 20330 22819 24020 24396 30495 36030 40660 45638 60990 68457 72060 91276 114095 121980 128507 136914 228190 257014 273828 342285 385521 456380 514028 642535 684570 771042 1285070 1369140 1542084 1927605 2441633 2570140 3855210 4883266 7324899 7710420 9766532 12208165 14649798 24416330 29299596 36624495 48832660 73248990 146497980