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162121120 = 2557144751
BaseRepresentation
bin10011010100111…
…00010110100000
3102022001121100221
421222130112200
5313000333440
624030452424
74006002220
oct1152342640
9368047327
10162121120
1183570aa7
1246364114
1327784075
1417762080
15e375d4a
hex9a9c5a0

162121120 has 48 divisors (see below), whose sum is σ = 437730048. Its totient is φ = 55584000.

The previous prime is 162121111. The next prime is 162121123. The reversal of 162121120 is 21121261.

162121120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 162121094 and 162121103.

It is not an unprimeable number, because it can be changed into a prime (162121123) 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, 71256 + ... + 73495.

It is an arithmetic number, because the mean of its divisors is an integer number (9119376).

Almost surely, 2162121120 is an apocalyptic number.

162121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162121120 is an abundant number, since it is smaller than the sum of its proper divisors (275608928).

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

162121120 is a wasteful number, since it uses less digits than its factorization.

162121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144773 (or 144765 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 162121120 is about 12732.6792153105. The cubic root of 162121120 is about 545.2720018118.

Adding to 162121120 its reverse (21121261), we get a palindrome (183242381).

The spelling of 162121120 in words is "one hundred sixty-two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 144751 289502 579004 723755 1013257 1158008 1447510 2026514 2316016 2895020 4053028 4632032 5066285 5790040 8106056 10132570 11580080 16212112 20265140 23160160 32424224 40530280 81060560 162121120