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1240022420 = 2257213131743
BaseRepresentation
bin100100111101001…
…0011110110010100
310012102022122222022
41021322103312110
510014421204140
6323013552312
742505005500
oct11172236624
93172278868
101240022420
11586a6221a
122a7345698
13169b982a0
14ba98b300
1573ce40b5
hex49e93d94

1240022420 has 144 divisors (see below), whose sum is σ = 3291539328. Its totient is φ = 388926720.

The previous prime is 1240022401. The next prime is 1240022501. The reversal of 1240022420 is 242200421.

It is a happy number.

It is a congruent number.

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, 1668569 + ... + 1669311.

It is an arithmetic number, because the mean of its divisors is an integer number (22857912).

Almost surely, 21240022420 is an apocalyptic number.

1240022420 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 1240022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645769664).

1240022420 is an abundant number, since it is smaller than the sum of its proper divisors (2051516908).

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

1240022420 is a wasteful number, since it uses less digits than its factorization.

1240022420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 1240022420 is about 35213.9520644872. The cubic root of 1240022420 is about 1074.3435458524.

Adding to 1240022420 its reverse (242200421), we get a palindrome (1482222841).

The spelling of 1240022420 in words is "one billion, two hundred forty million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 131 140 182 196 245 260 262 364 455 490 524 637 655 743 910 917 980 1274 1310 1486 1703 1820 1834 2548 2620 2972 3185 3406 3668 3715 4585 5201 6370 6419 6812 7430 8515 9170 9659 10402 11921 12740 12838 14860 17030 18340 19318 20804 23842 25676 26005 32095 34060 36407 38636 47684 48295 52010 59605 64190 67613 72814 83447 96590 97333 104020 119210 128380 135226 145628 166894 182035 193180 194666 238420 270452 333788 338065 364070 389332 417235 473291 486665 676130 681331 728140 834470 946582 973330 1265329 1352260 1362662 1668940 1893164 1946660 2366455 2530658 2725324 3406655 4732910 4769317 5061316 6326645 6813310 8857303 9465820 9538634 12653290 13626620 17714606 19077268 23846585 25306580 35429212 44286515 47693170 62001121 88573030 95386340 124002242 177146060 248004484 310005605 620011210 1240022420