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1242657416 = 2371121314107
BaseRepresentation
bin100101000010001…
…0111001010001000
310012121021112111202
41022010113022020
510021110014131
6323150243332
742536261630
oct11204271210
93177245452
101242657416
115884a1a00
122a81b6548
1316a5ab760
14bb0756c0
1574164bcb
hex4a117288

1242657416 has 96 divisors (see below), whose sum is σ = 3152291520. Its totient is φ = 446878080.

The previous prime is 1242657401. The next prime is 1242657421. The reversal of 1242657416 is 6147562421.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1242657416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81035 + ... + 95141.

It is an arithmetic number, because the mean of its divisors is an integer number (32836370).

Almost surely, 21242657416 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 1242657416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576145760).

1242657416 is an abundant number, since it is smaller than the sum of its proper divisors (1909634104).

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

1242657416 is a wasteful number, since it uses less digits than its factorization.

1242657416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14155 (or 14140 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 1242657416 is about 35251.3463005316. The cubic root of 1242657416 is about 1075.1039859028.

The spelling of 1242657416 in words is "one billion, two hundred forty-two million, six hundred fifty-seven thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 121 143 154 182 242 286 308 364 484 572 616 728 847 968 1001 1144 1573 1694 2002 3146 3388 4004 6292 6776 8008 11011 12584 14107 22022 28214 44044 56428 88088 98749 112856 155177 183391 197498 310354 366782 394996 620708 733564 789992 1086239 1241416 1283737 1467128 1706947 2017301 2172478 2567474 3413894 4034602 4344956 5134948 6827788 8069204 8689912 10269896 11948629 13655576 14121107 16138408 22190311 23897258 28242214 44380622 47794516 56484428 88761244 95589032 112968856 155332177 177522488 310664354 621328708 1242657416