Search a number
-
+
40017900 = 223521331331
BaseRepresentation
bin1001100010100…
…1111111101100
32210022010020110
42120221333230
540221033100
63545420020
7664101156
oct230517754
983263213
1040017900
112065304a
121149a610
1383a1a40
145459ad6
1537a7250
hex2629fec

40017900 has 144 divisors (see below), whose sum is σ = 129102848. Its totient is φ = 9504000.

The previous prime is 40017899. The next prime is 40017947. The reversal of 40017900 is 971004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120735 + ... + 121065.

Almost surely, 240017900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40017900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64551424).

40017900 is an abundant number, since it is smaller than the sum of its proper divisors (89084948).

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

40017900 is a wasteful number, since it uses less digits than its factorization.

40017900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 40017900 is about 6325.9702813086. The cubic root of 40017900 is about 342.0461960100.

Adding to 40017900 its reverse (971004), we get a palindrome (40988904).

The spelling of 40017900 in words is "forty million, seventeen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 31 39 50 52 60 62 65 75 78 93 100 124 130 150 155 156 186 195 260 300 310 325 331 372 390 403 465 620 650 662 775 780 806 930 975 993 1209 1300 1324 1550 1612 1655 1860 1950 1986 2015 2325 2418 3100 3310 3900 3972 4030 4303 4650 4836 4965 6045 6620 8060 8275 8606 9300 9930 10075 10261 12090 12909 16550 17212 19860 20150 20522 21515 24180 24825 25818 30225 30783 33100 40300 41044 43030 49650 51305 51636 60450 61566 64545 86060 99300 102610 107575 120900 123132 129090 133393 153915 205220 215150 256525 258180 266786 307830 322725 400179 430300 513050 533572 615660 645450 666965 769575 800358 1026100 1290900 1333930 1539150 1600716 2000895 2667860 3078300 3334825 4001790 6669650 8003580 10004475 13339300 20008950 40017900