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146164620 = 22357348011
BaseRepresentation
bin10001011011001…
…00101110001100
3101012000221011110
420231210232030
5244404231440
622300452020
73423243630
oct1055445614
9335027143
10146164620
1175562708
1240b4a010
1324388254
14155aadc0
15cc73080
hex8b64b8c

146164620 has 48 divisors (see below), whose sum is σ = 467728128. Its totient is φ = 33408960.

The previous prime is 146164607. The next prime is 146164633. The reversal of 146164620 is 26461641.

It is an interprime number because it is at equal distance from previous prime (146164607) and next prime (146164633).

It is a super-2 number, since 2×1461646202 = 42728192279488800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173586 + ... + 174425.

It is an arithmetic number, because the mean of its divisors is an integer number (9744336).

Almost surely, 2146164620 is an apocalyptic number.

146164620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146164620 is an abundant number, since it is smaller than the sum of its proper divisors (321563508).

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

146164620 is a wasteful number, since it uses less digits than its factorization.

146164620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348030 (or 348028 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 146164620 is about 12089.8560785478. The cubic root of 146164620 is about 526.7615746994.

The spelling of 146164620 in words is "one hundred forty-six million, one hundred sixty-four thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 348011 696022 1044033 1392044 1740055 2088066 2436077 3480110 4176132 4872154 5220165 6960220 7308231 9744308 10440330 12180385 14616462 20880660 24360770 29232924 36541155 48721540 73082310 146164620