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146313020 = 22572173863
BaseRepresentation
bin10001011100010…
…00111100111100
3101012022110201202
420232020330330
5244424004040
622303555032
73424432400
oct1056107474
9335273652
10146313020
1175654157
1240bbba78
132440a969
1415609100
15cca2015
hex8b88f3c

146313020 has 72 divisors (see below), whose sum is σ = 359904384. Its totient is φ = 49816704.

The previous prime is 146313007. The next prime is 146313023. The reversal of 146313020 is 20313641.

146313020 is digitally balanced in base 2 and base 3, because in such bases 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 146312983 and 146313001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146313023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169109 + ... + 169971.

It is an arithmetic number, because the mean of its divisors is an integer number (4998672).

Almost surely, 2146313020 is an apocalyptic number.

146313020 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 146313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179952192).

146313020 is an abundant number, since it is smaller than the sum of its proper divisors (213591364).

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

146313020 is a wasteful number, since it uses less digits than its factorization.

146313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 146313020 is about 12095.9918981454. The cubic root of 146313020 is about 526.9397869483.

Adding to 146313020 its reverse (20313641), we get a palindrome (166626661).

The spelling of 146313020 in words is "one hundred forty-six million, three hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 173 196 245 346 490 692 863 865 980 1211 1726 1730 2422 3452 3460 4315 4844 6041 6055 8477 8630 12082 12110 16954 17260 24164 24220 30205 33908 42287 42385 60410 84574 84770 120820 149299 169148 169540 211435 298598 422870 597196 746495 845740 1045093 1492990 2090186 2985980 4180372 5225465 7315651 10450930 14631302 20901860 29262604 36578255 73156510 146313020