Search a number
-
+
1013241880 = 235719283673
BaseRepresentation
bin111100011001001…
…101100000011000
32121121121000120001
4330121031200120
54033342220010
6244313142344
734052261650
oct7431154030
92547530501
101013241880
1147aa48692
122433ba9b4
13131bc5511
14987d7360
155de49c3a
hex3c64d818

1013241880 has 128 divisors (see below), whose sum is σ = 2756390400. Its totient is φ = 327462912.

The previous prime is 1013241841. The next prime is 1013241893. The reversal of 1013241880 is 881423101.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 1505224 + ... + 1505896.

It is an arithmetic number, because the mean of its divisors is an integer number (21534300).

Almost surely, 21013241880 is an apocalyptic number.

1013241880 is a gapful number since it is divisible by the number (10) 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 1013241880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378195200).

1013241880 is an abundant number, since it is smaller than the sum of its proper divisors (1743148520).

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

1013241880 is a wasteful number, since it uses less digits than its factorization.

1013241880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 1013241880 is about 31831.4605382788. The cubic root of 1013241880 is about 1004.3946190329.

Adding to 1013241880 its reverse (881423101), we get a palindrome (1894664981).

The spelling of 1013241880 in words is "one billion, thirteen million, two hundred forty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 266 280 283 380 532 566 665 673 760 1064 1132 1330 1346 1415 1981 2264 2660 2692 2830 3365 3962 4711 5320 5377 5384 5660 6730 7924 9422 9905 10754 11320 12787 13460 15848 18844 19810 21508 23555 25574 26885 26920 37639 37688 39620 43016 47110 51148 53770 63935 75278 79240 89509 94220 102296 107540 127870 150556 179018 188195 188440 190459 215080 255740 301112 358036 376390 380918 447545 511480 716072 752780 761836 895090 952295 1333213 1505560 1523672 1790180 1904590 2666426 3580360 3618721 3809180 5332852 6666065 7237442 7618360 10665704 13332130 14474884 18093605 25331047 26664260 28949768 36187210 50662094 53328520 72374420 101324188 126655235 144748840 202648376 253310470 506620940 1013241880