Search a number
-
+
1421616880 = 245532331439
BaseRepresentation
bin101010010111100…
…0010011011110000
310200002000121202001
41110233002123300
510402413220010
6353022103344
750141354425
oct12457023360
93602017661
101421616880
1166a513892
1233811ab54
131986a9b28
14d6b3bd4c
1584c14c3a
hex54bc26f0

1421616880 has 80 divisors (see below), whose sum is σ = 3384426240. Its totient is φ = 555137024.

The previous prime is 1421616877. The next prime is 1421616893. The reversal of 1421616880 is 886161241.

It is a tau number, because it is divible by the number of its divisors (80).

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, 987201 + ... + 988639.

It is an arithmetic number, because the mean of its divisors is an integer number (42305328).

Almost surely, 21421616880 is an apocalyptic number.

1421616880 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 1421616880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692213120).

1421616880 is an abundant number, since it is smaller than the sum of its proper divisors (1962809360).

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

1421616880 is a wasteful number, since it uses less digits than its factorization.

1421616880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 1421616880 is about 37704.3350292775. The cubic root of 1421616880 is about 1124.4173127382.

The spelling of 1421616880 in words is "one billion, four hundred twenty-one million, six hundred sixteen thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 233 265 424 466 530 848 932 1060 1165 1439 1864 2120 2330 2878 3728 4240 4660 5756 7195 9320 11512 12349 14390 18640 23024 24698 28780 49396 57560 61745 76267 98792 115120 123490 152534 197584 246980 305068 335287 381335 493960 610136 670574 762670 987920 1220272 1341148 1525340 1676435 2682296 3050680 3352870 5364592 6101360 6705740 13411480 17770211 26822960 35540422 71080844 88851055 142161688 177702110 284323376 355404220 710808440 1421616880