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146936320 = 29557397
BaseRepresentation
bin10001100001000…
…01001000000000
3101020111010201221
420300201020000
5300103430240
622325204424
73432636526
oct1060411000
9336433657
10146936320
1175a3a483
1241260714
132459858b
141572c316
15cd76a4a
hex8c21200

146936320 has 40 divisors (see below), whose sum is σ = 352308924. Its totient is φ = 58773504.

The previous prime is 146936303. The next prime is 146936341. The reversal of 146936320 is 23639641.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 128686336 + 18249984 = 11344^2 + 4272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26139 + ... + 31258.

Almost surely, 2146936320 is an apocalyptic number.

146936320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146936320 is an abundant number, since it is smaller than the sum of its proper divisors (205372604).

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

146936320 is an frugal number, since it uses more digits than its factorization.

146936320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57420 (or 57404 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 146936320 is about 12121.7292495749. The cubic root of 146936320 is about 527.6869892547.

The spelling of 146936320 in words is "one hundred forty-six million, nine hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 57397 114794 229588 286985 459176 573970 918352 1147940 1836704 2295880 3673408 4591760 7346816 9183520 14693632 18367040 29387264 36734080 73468160 146936320