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146341936 = 24136710501
BaseRepresentation
bin10001011100100…
…00000000110000
3101012100221101201
420232100000300
5244430420221
622304340544
73424612606
oct1056200060
9335327351
10146341936
1175673954
1241014754
132441ab80
1415615876
15ccaa891
hex8b90030

146341936 has 40 divisors (see below), whose sum is σ = 309935024. Its totient is φ = 66528000.

The previous prime is 146341927. The next prime is 146341981. The reversal of 146341936 is 639143641.

It is a junction number, because it is equal to n+sod(n) for n = 146341895 and 146341904.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8686 + ... + 19186.

Almost surely, 2146341936 is an apocalyptic number.

146341936 is a gapful number since it is divisible by the number (16) 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 146341936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154967512).

146341936 is an abundant number, since it is smaller than the sum of its proper divisors (163593088).

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

146341936 is a wasteful number, since it uses less digits than its factorization.

146341936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10589 (or 10583 counting only the distinct ones).

The product of its digits is 46656, while the sum is 37.

The square root of 146341936 is about 12097.1871110602. The cubic root of 146341936 is about 526.9744978880.

The spelling of 146341936 in words is "one hundred forty-six million, three hundred forty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 67 104 134 208 268 536 871 1072 1742 3484 6968 10501 13936 21002 42004 84008 136513 168016 273026 546052 703567 1092104 1407134 2184208 2814268 5628536 9146371 11257072 18292742 36585484 73170968 146341936