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146162730 = 2357719803
BaseRepresentation
bin10001011011001…
…00010000101010
3101012000211120110
420231210100222
5244404201410
622300435150
73423235260
oct1055442052
9335024513
10146162730
117556124a
1240b48ab6
132438742c
14155aa430
15cc72720
hex8b6442a

146162730 has 64 divisors (see below), whose sum is σ = 406591488. Its totient is φ = 32934720.

The previous prime is 146162713. The next prime is 146162741. The reversal of 146162730 is 37261641.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10009 + ... + 19811.

It is an arithmetic number, because the mean of its divisors is an integer number (6352992).

Almost surely, 2146162730 is an apocalyptic number.

146162730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146162730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203295744).

146162730 is an abundant number, since it is smaller than the sum of its proper divisors (260428758).

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

146162730 is a wasteful number, since it uses less digits than its factorization.

146162730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9891.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 146162730 is about 12089.7779135930. Note that the first 3 decimals coincide. The cubic root of 146162730 is about 526.7593042373.

The spelling of 146162730 in words is "one hundred forty-six million, one hundred sixty-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 355 426 497 710 994 1065 1491 2130 2485 2982 4970 7455 9803 14910 19606 29409 49015 58818 68621 98030 137242 147045 205863 294090 343105 411726 686210 696013 1029315 1392026 2058630 2088039 3480065 4176078 4872091 6960130 9744182 10440195 14616273 20880390 24360455 29232546 48720910 73081365 146162730