Search a number
-
+
1606625920 = 27513119163
BaseRepresentation
bin101111111000011…
…0010101010000000
311010222011001102201
41133300302222000
511242244012140
6423231322544
754546044404
oct13760625200
94128131381
101606625920
11754997919
1238a080454
131c7b15933
1411353b104
15960ac49a
hex5fc32a80

1606625920 has 64 divisors (see below), whose sum is σ = 3870361440. Its totient is φ = 637711360.

The previous prime is 1606625893. The next prime is 1606625927. The reversal of 1606625920 is 295266061.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1606625920.

It is not an unprimeable number, because it can be changed into a prime (1606625927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74259 + ... + 93421.

Almost surely, 21606625920 is an apocalyptic number.

1606625920 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 1606625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935180720).

1606625920 is an abundant number, since it is smaller than the sum of its proper divisors (2263735520).

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

1606625920 is a wasteful number, since it uses less digits than its factorization.

1606625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19313 (or 19301 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 1606625920 is about 40082.7384294037. The cubic root of 1606625920 is about 1171.2193973417.

The spelling of 1606625920 in words is "one billion, six hundred six million, six hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 131 160 262 320 524 640 655 1048 1310 2096 2620 4192 5240 8384 10480 16768 19163 20960 38326 41920 76652 83840 95815 153304 191630 306608 383260 613216 766520 1226432 1533040 2452864 2510353 3066080 5020706 6132160 10041412 12264320 12551765 20082824 25103530 40165648 50207060 80331296 100414120 160662592 200828240 321325184 401656480 803312960 1606625920