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162140992 = 2613533677
BaseRepresentation
bin10011010101000…
…01001101000000
3102022002121121221
421222201031000
5313002002432
624031124424
74006114156
oct1152411500
9368077557
10162140992
1183584a22
1246373714
1327790120
14177693d6
15e37bb97
hex9aa1340

162140992 has 56 divisors (see below), whose sum is σ = 353132136. Its totient is φ = 73402368.

The previous prime is 162140981. The next prime is 162141011. The reversal of 162140992 is 299041261.

It can be written as a sum of positive squares in 4 ways, for example, as 33454656 + 128686336 = 5784^2 + 11344^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42258 + ... + 45934.

It is an arithmetic number, because the mean of its divisors is an integer number (6305931).

Almost surely, 2162140992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176566068).

162140992 is an abundant number, since it is smaller than the sum of its proper divisors (190991144).

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

162140992 is a wasteful number, since it uses less digits than its factorization.

162140992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3755 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 162140992 is about 12733.4595456223. The cubic root of 162140992 is about 545.2942798109.

It can be divided in two parts, 1621409 and 92, that multiplied together give a triangular number (149169628 = T17272).

The spelling of 162140992 in words is "one hundred sixty-two million, one hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 208 212 416 424 689 832 848 1378 1696 2756 3392 3677 5512 7354 11024 14708 22048 29416 44096 47801 58832 95602 117664 191204 194881 235328 382408 389762 764816 779524 1529632 1559048 2533453 3059264 3118096 5066906 6236192 10133812 12472384 20267624 40535248 81070496 162140992