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46106040 = 23351797233
BaseRepresentation
bin1010111111100…
…0010110111000
310012202102121010
42233320112320
543300343130
64324113520
71066615641
oct257702670
9105672533
1046106040
1124031172
12135358a0
139723ba6
1461a26c8
1540ab0b0
hex2bf85b8

46106040 has 128 divisors (see below), whose sum is σ = 148599360. Its totient is φ = 11403264.

The previous prime is 46106029. The next prime is 46106069. The reversal of 46106040 is 4060164.

It is a junction number, because it is equal to n+sod(n) for n = 46105998 and 46106016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197764 + ... + 197996.

Almost surely, 246106040 is an apocalyptic number.

46106040 is a gapful number since it is divisible by the number (40) 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 46106040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

46106040 is an abundant number, since it is smaller than the sum of its proper divisors (102493320).

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

46106040 is a wasteful number, since it uses less digits than its factorization.

46106040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 46106040 is about 6790.1428556401. The cubic root of 46106040 is about 358.5798992875.

The spelling of 46106040 in words is "forty-six million, one hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 97 102 120 136 170 194 204 233 255 291 340 388 408 466 485 510 582 680 699 776 932 970 1020 1164 1165 1398 1455 1649 1864 1940 2040 2328 2330 2796 2910 3298 3495 3880 3961 4660 4947 5592 5820 6596 6990 7922 8245 9320 9894 11640 11883 13192 13980 15844 16490 19788 19805 22601 23766 24735 27960 31688 32980 39576 39610 45202 47532 49470 59415 65960 67803 79220 90404 95064 98940 113005 118830 135606 158440 180808 197880 226010 237660 271212 339015 384217 452020 475320 542424 678030 768434 904040 1152651 1356060 1536868 1921085 2305302 2712120 3073736 3842170 4610604 5763255 7684340 9221208 11526510 15368680 23053020 46106040