Search a number
-
+
7421890560 = 21235717257
BaseRepresentation
bin1101110100110000…
…10001000000000000
3201011020121002211120
412322120101000000
5110200000444220
63224244512240
7351631012620
oct67230210000
921136532746
107421890560
113169511257
1215316ab680
13913840326
145059bc880
152d68a3a40
hex1ba611000

7421890560 has 208 divisors, whose sum is σ = 27141173376. Its totient is φ = 1696333824.

The previous prime is 7421890537. The next prime is 7421890579. The reversal of 7421890560 is 650981247.

It is a super-2 number, since 2×74218905602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 421452 + ... + 438708.

Almost surely, 27421890560 is an apocalyptic number.

7421890560 is a gapful number since it is divisible by the number (70) 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 7421890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13570586688).

7421890560 is an abundant number, since it is smaller than the sum of its proper divisors (19719282816).

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

7421890560 is a wasteful number, since it uses less digits than its factorization.

7421890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17296 (or 17274 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 7421890560 is about 86150.3950078002. The cubic root of 7421890560 is about 1950.6148015410.

The spelling of 7421890560 in words is "seven billion, four hundred twenty-one million, eight hundred ninety thousand, five hundred sixty".