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1420988416 = 212192312
BaseRepresentation
bin101010010110010…
…1001000000000000
310200000211200122121
41110230221000000
510402233112131
6353000414024
750133126241
oct12454510000
93600750577
101420988416
1166a1246a1
12337a77314
13198519a63
14d6a16cc8
1584b3d911
hex54b29000

1420988416 has 117 divisors (see below), whose sum is σ = 3098925603. Its totient is φ = 651386880.

The previous prime is 1420988411. The next prime is 1420988417. The reversal of 1420988416 is 6148890241.

The square root of 1420988416 is 37696.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1420988411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45838321 + ... + 45838351.

Almost surely, 21420988416 is an apocalyptic number.

1420988416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1420988416 is the 37696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420988416

1420988416 is an abundant number, since it is smaller than the sum of its proper divisors (1677937187).

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

1420988416 is an frugal number, since it uses more digits than its factorization.

1420988416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The cubic root of 1420988416 is about 1124.2515953381.

The spelling of 1420988416 in words is "one billion, four hundred twenty million, nine hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 128 152 248 256 304 361 496 512 589 608 722 961 992 1024 1178 1216 1444 1922 1984 2048 2356 2432 2888 3844 3968 4096 4712 4864 5776 7688 7936 9424 9728 11191 11552 15376 15872 18259 18848 19456 22382 23104 30752 31744 36518 37696 38912 44764 46208 61504 63488 73036 75392 77824 89528 92416 123008 126976 146072 150784 179056 184832 246016 292144 301568 346921 358112 369664 492032 584288 603136 693842 716224 739328 984064 1168576 1206272 1387684 1432448 1478656 1968128 2337152 2412544 2775368 2864896 3936256 4674304 5550736 5729792 9348608 11101472 11459584 18697216 22202944 22919168 37394432 44405888 45838336 74788864 88811776 177623552 355247104 710494208 1420988416