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101463930 = 23253141887
BaseRepresentation
bin1100000110000…
…11011101111010
321001220220100100
412003003131322
5201433321210
614022420230
72341300131
oct603033572
9231826310
10101463930
1152301397
1229b91676
1318036c39
14d692918
158d935c0
hex60c377a

101463930 has 96 divisors (see below), whose sum is σ = 279272448. Its totient is φ = 25516800.

The previous prime is 101463913. The next prime is 101463937. The reversal of 101463930 is 39364101.

101463930 is a `hidden beast` number, since 10 + 14 + 639 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101463894 and 101463903.

It is not an unprimeable number, because it can be changed into a prime (101463937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113947 + ... + 114833.

It is an arithmetic number, because the mean of its divisors is an integer number (2909088).

Almost surely, 2101463930 is an apocalyptic number.

101463930 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 101463930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139636224).

101463930 is an abundant number, since it is smaller than the sum of its proper divisors (177808518).

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

101463930 is a wasteful number, since it uses less digits than its factorization.

101463930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 101463930 is about 10072.9305566950. The cubic root of 101463930 is about 466.4129068223.

The spelling of 101463930 in words is "one hundred one million, four hundred sixty-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 41 45 62 82 90 93 123 155 186 205 246 279 310 369 410 465 558 615 738 887 930 1230 1271 1395 1774 1845 2542 2661 2790 3690 3813 4435 5322 6355 7626 7983 8870 11439 12710 13305 15966 19065 22878 26610 27497 36367 38130 39915 54994 57195 72734 79830 82491 109101 114390 137485 164982 181835 218202 247473 274970 327303 363670 412455 494946 545505 654606 824910 1091010 1127377 1237365 1636515 2254754 2474730 3273030 3382131 5636885 6764262 10146393 11273770 16910655 20292786 33821310 50731965 101463930