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101430 = 23257223
BaseRepresentation
bin11000110000110110
312011010200
4120300312
511221210
62101330
7601500
oct306066
9164120
10101430
116a22a
124a846
1337224
1428d70
15200c0
hex18c36

101430 has 72 divisors (see below), whose sum is σ = 320112. Its totient is φ = 22176.

The previous prime is 101429. The next prime is 101449. The reversal of 101430 is 34101.

Adding to 101430 its reverse (34101), we get a palindrome (135531).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4399 + ... + 4421.

It is an arithmetic number, because the mean of its divisors is an integer number (4446).

2101430 is an apocalyptic number.

101430 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 101430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160056).

101430 is an abundant number, since it is smaller than the sum of its proper divisors (218682).

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

101430 is a wasteful number, since it uses less digits than its factorization.

101430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 101430 is about 318.4807686502. The cubic root of 101430 is about 46.6360910826.

The spelling of 101430 in words is "one hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 49 63 69 70 90 98 105 115 126 138 147 161 207 210 230 245 294 315 322 345 414 441 483 490 630 690 735 805 882 966 1035 1127 1449 1470 1610 2070 2205 2254 2415 2898 3381 4410 4830 5635 6762 7245 10143 11270 14490 16905 20286 33810 50715 101430