Search a number
-
+
1214023040 = 27517241463
BaseRepresentation
bin100100001011100…
…1000010110000000
310010121101202112022
41020113020112000
54441242214130
6320244421012
742041011526
oct11027102600
93117352468
101214023040
1157331452a
1229a6a7768
13164694239
14b7340316
15718aa7e5
hex485c8580

1214023040 has 128 divisors (see below), whose sum is σ = 3092411520. Its totient is φ = 454164480.

The previous prime is 1214023001. The next prime is 1214023061. The reversal of 1214023040 is 403204121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2621849 + ... + 2622311.

It is an arithmetic number, because the mean of its divisors is an integer number (24159465).

Almost surely, 21214023040 is an apocalyptic number.

1214023040 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 1214023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546205760).

1214023040 is an abundant number, since it is smaller than the sum of its proper divisors (1878388480).

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

1214023040 is a wasteful number, since it uses less digits than its factorization.

1214023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1214023040 is about 34842.8334094689. The cubic root of 1214023040 is about 1066.7819111595.

Adding to 1214023040 its reverse (403204121), we get a palindrome (1617227161).

The spelling of 1214023040 in words is "one billion, two hundred fourteen million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 241 272 320 340 463 482 544 640 680 926 964 1088 1205 1360 1852 1928 2176 2315 2410 2720 3704 3856 4097 4630 4820 5440 7408 7712 7871 8194 9260 9640 10880 14816 15424 15742 16388 18520 19280 20485 29632 30848 31484 32776 37040 38560 39355 40970 59264 62968 65552 74080 77120 78710 81940 111583 125936 131104 148160 154240 157420 163880 223166 251872 262208 296320 314840 327760 446332 503744 524416 557915 629680 655520 892664 1007488 1115830 1259360 1311040 1785328 1896911 2231660 2518720 2622080 3570656 3793822 4463320 5037440 7141312 7587644 8926640 9484555 14282624 15175288 17853280 18969110 30350576 35706560 37938220 60701152 71413120 75876440 121402304 151752880 242804608 303505760 607011520 1214023040