Search a number
-
+
20150640 = 2433519491
BaseRepresentation
bin100110011011…
…1100101110000
31101220202111000
41030313211300
520124310030
61555522000
7333164136
oct114674560
941822430
1020150640
1110413524
1268b9300
134236b73
142967756
151b80860
hex1337970

20150640 has 160 divisors (see below), whose sum is σ = 73209600. Its totient is φ = 5080320.

The previous prime is 20150633. The next prime is 20150677. The reversal of 20150640 is 4605102.

It is a happy number.

20150640 is a `hidden beast` number, since 20 + 1 + 5 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40795 + ... + 41285.

It is an arithmetic number, because the mean of its divisors is an integer number (457560).

Almost surely, 220150640 is an apocalyptic number.

20150640 is a gapful number since it is divisible by the number (20) 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 20150640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36604800).

20150640 is an abundant number, since it is smaller than the sum of its proper divisors (53058960).

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

20150640 is a wasteful number, since it uses less digits than its factorization.

20150640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 20150640 is about 4488.9464242737. The cubic root of 20150640 is about 272.1215575476.

Adding to 20150640 its reverse (4605102), we get a palindrome (24755742).

The spelling of 20150640 in words is "twenty million, one hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 491 513 540 570 684 720 760 855 912 982 1026 1080 1140 1368 1473 1520 1710 1964 2052 2160 2280 2455 2565 2736 2946 3420 3928 4104 4419 4560 4910 5130 5892 6840 7365 7856 8208 8838 9329 9820 10260 11784 13257 13680 14730 17676 18658 19640 20520 22095 23568 26514 27987 29460 35352 37316 39280 41040 44190 46645 53028 55974 58920 66285 70704 74632 83961 88380 93290 106056 111948 117840 132570 139935 149264 167922 176760 186580 212112 223896 251883 265140 279870 335844 353520 373160 419805 447792 503766 530280 559740 671688 746320 839610 1007532 1060560 1119480 1259415 1343376 1679220 2015064 2238960 2518830 3358440 4030128 5037660 6716880 10075320 20150640