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162146440 = 23525715773
BaseRepresentation
bin10011010101000…
…10100010001000
3102022002220002201
421222202202020
5313002141230
624031205544
74006136101
oct1152424210
9368086081
10162146440
1183589025
12463768b4
1327792751
141776b3a8
15e37d5ca
hex9aa2888

162146440 has 32 divisors (see below), whose sum is σ = 366272280. Its totient is φ = 64602112.

The previous prime is 162146407. The next prime is 162146449. The reversal of 162146440 is 44641261.

It can be written as a sum of positive squares in 4 ways, for example, as 160833124 + 1313316 = 12682^2 + 1146^2 .

It is a junction number, because it is equal to n+sod(n) for n = 162146399 and 162146408.

It is not an unprimeable number, because it can be changed into a prime (162146449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2394 + ... + 18166.

Almost surely, 2162146440 is an apocalyptic number.

162146440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162146440 is an abundant number, since it is smaller than the sum of its proper divisors (204125840).

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

162146440 is a wasteful number, since it uses less digits than its factorization.

162146440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16041 (or 16037 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 162146440 is about 12733.6734684065. The cubic root of 162146440 is about 545.3003871087.

The spelling of 162146440 in words is "one hundred sixty-two million, one hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 257 514 1028 1285 2056 2570 5140 10280 15773 31546 63092 78865 126184 157730 315460 630920 4053661 8107322 16214644 20268305 32429288 40536610 81073220 162146440