Search a number
-
+
3670905420 = 2234571337673
BaseRepresentation
bin1101101011001101…
…1001001001001100
3100110211110022120000
43122303121021030
530004222433140
61404132124300
7156653116110
oct33263311114
910424408500
103670905420
111614148636
12865466690
134666a7ab0
1426b769740
1516741aa30
hexdacd924c

3670905420 has 480 divisors, whose sum is σ = 14577940608. Its totient is φ = 752467968.

The previous prime is 3670905419. The next prime is 3670905467. The reversal of 3670905420 is 245090763.

3670905420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5454204 + ... + 5454876.

Almost surely, 23670905420 is an apocalyptic number.

3670905420 is a gapful number since it is divisible by the number (30) 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 3670905420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7288970304).

3670905420 is an abundant number, since it is smaller than the sum of its proper divisors (10907035188).

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

3670905420 is a wasteful number, since it uses less digits than its factorization.

3670905420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3670905420 is about 60587.9973262031. The cubic root of 3670905420 is about 1542.6156454024.

The spelling of 3670905420 in words is "three billion, six hundred seventy million, nine hundred five thousand, four hundred twenty".