Search a number
-
+
109386420 = 2235112131961
BaseRepresentation
bin1101000010100…
…01101010110100
321121211101221220
412201101222310
5211000331140
614504310340
72465524563
oct641215264
9247741856
10109386420
1156822700
12307723b0
131987bcc0
1410755bda
15990abd0
hex6851ab4

109386420 has 288 divisors, whose sum is σ = 387891840. Its totient is φ = 22809600.

The previous prime is 109386391. The next prime is 109386427. The reversal of 109386420 is 24683901.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109386427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1793190 + ... + 1793250.

Almost surely, 2109386420 is an apocalyptic number.

109386420 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 109386420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193945920).

109386420 is an abundant number, since it is smaller than the sum of its proper divisors (278505420).

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

109386420 is a wasteful number, since it uses less digits than its factorization.

109386420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 109386420 is about 10458.7962978538. The cubic root of 109386420 is about 478.2494394370.

The spelling of 109386420 in words is "one hundred nine million, three hundred eighty-six thousand, four hundred twenty".