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1416680448 = 21031727127
BaseRepresentation
bin101010001110000…
…1101010000000000
310122201201211020020
41110130031100000
510400132233243
6352324213440
750051404461
oct12434152000
93581654206
101416680448
11667751a97
1233653a280
1319766bc71
14d6214d68
158458c283
hex5470d400

1416680448 has 88 divisors (see below), whose sum is σ = 3998233152. Its totient is φ = 444432384.

The previous prime is 1416680401. The next prime is 1416680467. The reversal of 1416680448 is 8440866141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38661 + ... + 65787.

Almost surely, 21416680448 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 1416680448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999116576).

1416680448 is an abundant number, since it is smaller than the sum of its proper divisors (2581552704).

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

1416680448 is a wasteful number, since it uses less digits than its factorization.

1416680448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27167 (or 27149 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 1416680448 is about 37638.8157093180. The cubic root of 1416680448 is about 1123.1143253293.

The spelling of 1416680448 in words is "one billion, four hundred sixteen million, six hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2176 3072 3264 4352 6528 8704 13056 17408 26112 27127 52224 54254 81381 108508 162762 217016 325524 434032 461159 651048 868064 922318 1302096 1383477 1736128 1844636 2604192 2766954 3472256 3689272 5208384 5533908 6944512 7378544 10416768 11067816 13889024 14757088 20833536 22135632 27778048 29514176 41667072 44271264 59028352 83334144 88542528 118056704 177085056 236113408 354170112 472226816 708340224 1416680448