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162145260 = 22335436983
BaseRepresentation
bin10011010101000…
…10001111101100
3102022002211111000
421222202033230
5313002122020
624031200300
74006132464
oct1152421754
9368084430
10162145260
1183588152
1246376090
1327792054
141776aba4
15e37d090
hex9aa23ec

162145260 has 96 divisors (see below), whose sum is σ = 516257280. Its totient is φ = 42227136.

The previous prime is 162145241. The next prime is 162145261. The reversal of 162145260 is 62541261.

162145260 is digitally balanced in base 2, 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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162145261) 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, 19729 + ... + 26711.

It is an arithmetic number, because the mean of its divisors is an integer number (5377680).

Almost surely, 2162145260 is an apocalyptic number.

162145260 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 162145260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258128640).

162145260 is an abundant number, since it is smaller than the sum of its proper divisors (354112020).

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

162145260 is a wasteful number, since it uses less digits than its factorization.

162145260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7044 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 162145260 is about 12733.6271344814. The cubic root of 162145260 is about 545.2990643209.

The spelling of 162145260 in words is "one hundred sixty-two million, one hundred forty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 1161 1290 1548 1935 2322 2580 3870 4644 5805 6983 7740 11610 13966 20949 23220 27932 34915 41898 62847 69830 83796 104745 125694 139660 188541 209490 251388 300269 314235 377082 418980 600538 628470 754164 900807 942705 1201076 1256940 1501345 1801614 1885410 2702421 3002690 3603228 3770820 4504035 5404842 6005380 8107263 9008070 10809684 13512105 16214526 18016140 27024210 32429052 40536315 54048420 81072630 162145260