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1420688352 = 253431971747
BaseRepresentation
bin101010010101101…
…1111101111100000
310200000021110001010
41110223133233200
510402144011402
6352550140520
750130436356
oct12453375740
93600243033
101420688352
11669a3a206
12337951740
131984432c5
14d69797d6
1584acea6c
hex54adfbe0

1420688352 has 96 divisors (see below), whose sum is σ = 3837601152. Its totient is φ = 459938304.

The previous prime is 1420688303. The next prime is 1420688393. The reversal of 1420688352 is 2538860241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1420688352.

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, 812343 + ... + 814089.

It is an arithmetic number, because the mean of its divisors is an integer number (39975012).

Almost surely, 21420688352 is an apocalyptic number.

1420688352 is a gapful number since it is divisible by the number (12) 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 1420688352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918800576).

1420688352 is an abundant number, since it is smaller than the sum of its proper divisors (2416912800).

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

1420688352 is a wasteful number, since it uses less digits than its factorization.

1420688352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 1420688352 is about 37692.0197389315. The cubic root of 1420688352 is about 1124.1724553125.

The spelling of 1420688352 in words is "one billion, four hundred twenty million, six hundred eighty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 197 258 344 394 516 591 688 788 1032 1182 1376 1576 1747 2064 2364 3152 3494 4128 4728 5241 6304 6988 8471 9456 10482 13976 16942 18912 20964 25413 27952 33884 41928 50826 55904 67768 75121 83856 101652 135536 150242 167712 203304 225363 271072 300484 344159 406608 450726 600968 688318 813216 901452 1032477 1201936 1376636 1802904 2064954 2403872 2753272 3605808 4129908 5506544 7211616 8259816 11013088 14798837 16519632 29597674 33039264 44396511 59195348 88793022 118390696 177586044 236781392 355172088 473562784 710344176 1420688352