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40100130 = 233573433
BaseRepresentation
bin1001100011111…
…0000100100010
32210110022001000
42120332010202
540231201010
63551252430
7664563000
oct230760442
983408030
1040100130
11206a9904
121151a116
1384002b5
14547ba70
1537c17c0
hex263e122

40100130 has 128 divisors (see below), whose sum is σ = 124992000. Its totient is φ = 9144576.

The previous prime is 40100129. The next prime is 40100147. The reversal of 40100130 is 3100104.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92394 + ... + 92826.

It is an arithmetic number, because the mean of its divisors is an integer number (976500).

Almost surely, 240100130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40100130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62496000).

40100130 is an abundant number, since it is smaller than the sum of its proper divisors (84891870).

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

40100130 is a wasteful number, since it uses less digits than its factorization.

40100130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 450 counting only the distinct ones).

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

The square root of 40100130 is about 6332.4663441664. The cubic root of 40100130 is about 342.2803180373.

Adding to 40100130 its reverse (3100104), we get a palindrome (43200234).

The spelling of 40100130 in words is "forty million, one hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 343 378 433 441 490 630 686 735 866 882 945 1029 1299 1323 1470 1715 1890 2058 2165 2205 2598 2646 3031 3087 3430 3897 4330 4410 5145 6062 6174 6495 6615 7794 9093 9261 10290 11691 12990 13230 15155 15435 18186 18522 19485 21217 23382 27279 30310 30870 38970 42434 45465 46305 54558 58455 63651 81837 90930 92610 106085 116910 127302 136395 148519 163674 190953 212170 272790 297038 318255 381906 409185 445557 572859 636510 742595 818370 891114 954765 1145718 1336671 1485190 1909530 2227785 2673342 2864295 4010013 4455570 5728590 6683355 8020026 13366710 20050065 40100130