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2149290480 = 243522739451
BaseRepresentation
bin1000000000011011…
…1001000111110000
312112210021021021010
42000012321013300
513400204243410
6553134430520
7104155445001
oct20006710760
95483237233
102149290480
11a03244827
124bb962440
1328338831c
1416563b1a8
15c8a51c20
hex801b91f0

2149290480 has 80 divisors (see below), whose sum is σ = 6692321664. Its totient is φ = 570604800.

The previous prime is 2149290461. The next prime is 2149290497. The reversal of 2149290480 is 840929412.

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, 34755 + ... + 74205.

Almost surely, 22149290480 is an apocalyptic number.

2149290480 is a gapful number since it is divisible by the number (20) 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 2149290480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346160832).

2149290480 is an abundant number, since it is smaller than the sum of its proper divisors (4543031184).

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

2149290480 is a wasteful number, since it uses less digits than its factorization.

2149290480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39694 (or 39688 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 2149290480 is about 46360.4408952288. The cubic root of 2149290480 is about 1290.5208881343.

The spelling of 2149290480 in words is "two billion, one hundred forty-nine million, two hundred ninety thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 227 240 454 681 908 1135 1362 1816 2270 2724 3405 3632 4540 5448 6810 9080 10896 13620 18160 27240 39451 54480 78902 118353 157804 197255 236706 315608 394510 473412 591765 631216 789020 946824 1183530 1578040 1893648 2367060 3156080 4734120 8955377 9468240 17910754 26866131 35821508 44776885 53732262 71643016 89553770 107464524 134330655 143286032 179107540 214929048 268661310 358215080 429858096 537322620 716430160 1074645240 2149290480