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146638030 = 25711375147
BaseRepresentation
bin10001011110110…
…00010011001110
3101012220222120011
420233120103032
5300014404110
622314543434
73430255060
oct1057302316
9335828504
10146638030
1175856360
1241137b7a
13244c2886
1415691730
15cd1848a
hex8bd84ce

146638030 has 64 divisors (see below), whose sum is σ = 338038272. Its totient is φ = 44461440.

The previous prime is 146638013. The next prime is 146638031. The reversal of 146638030 is 30836641.

146638030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146637983 and 146638001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146638031) 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, 25917 + ... + 31063.

It is an arithmetic number, because the mean of its divisors is an integer number (5281848).

Almost surely, 2146638030 is an apocalyptic number.

146638030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146638030 is an abundant number, since it is smaller than the sum of its proper divisors (191400242).

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

146638030 is a wasteful number, since it uses less digits than its factorization.

146638030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5209.

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 146638030 is about 12109.4190612102. The cubic root of 146638030 is about 527.3296680571.

The spelling of 146638030 in words is "one hundred forty-six million, six hundred thirty-eight thousand, thirty".

Divisors: 1 2 5 7 10 11 14 22 35 37 55 70 74 77 110 154 185 259 370 385 407 518 770 814 1295 2035 2590 2849 4070 5147 5698 10294 14245 25735 28490 36029 51470 56617 72058 113234 180145 190439 283085 360290 380878 396319 566170 792638 952195 1333073 1904390 1981595 2094829 2666146 3963190 4189658 6665365 10474145 13330730 14663803 20948290 29327606 73319015 146638030