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421486920 = 233251398423
BaseRepresentation
bin11001000111110…
…110000101001000
31002101002202100200
4121013312011020
51330400040140
6105453532200
713305402561
oct3107660510
91071082320
10421486920
111a6a113a8
12b91a4060
136942575a
143dd99168
152700a030
hex191f6148

421486920 has 96 divisors (see below), whose sum is σ = 1379851200. Its totient is φ = 111574656.

The previous prime is 421486909. The next prime is 421486927. The reversal of 421486920 is 29684124.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (421486927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45829 + ... + 54251.

It is an arithmetic number, because the mean of its divisors is an integer number (14373450).

Almost surely, 2421486920 is an apocalyptic number.

421486920 is a gapful number since it is divisible by the number (40) 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 421486920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689925600).

421486920 is an abundant number, since it is smaller than the sum of its proper divisors (958364280).

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

421486920 is a wasteful number, since it uses less digits than its factorization.

421486920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8579 (or 8572 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 421486920 is about 20530.1466141867. The cubic root of 421486920 is about 749.7699561136.

The spelling of 421486920 in words is "four hundred twenty-one million, four hundred eighty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 139 180 278 360 417 556 695 834 1112 1251 1390 1668 2085 2502 2780 3336 4170 5004 5560 6255 8340 8423 10008 12510 16680 16846 25020 25269 33692 42115 50040 50538 67384 75807 84230 101076 126345 151614 168460 202152 252690 303228 336920 379035 505380 606456 758070 1010760 1170797 1516140 2341594 3032280 3512391 4683188 5853985 7024782 9366376 10537173 11707970 14049564 17561955 21074346 23415940 28099128 35123910 42148692 46831880 52685865 70247820 84297384 105371730 140495640 210743460 421486920