Search a number
-
+
1990156256 = 251113741269
BaseRepresentation
bin111011010011111…
…0101111111100000
312010200211102010222
41312213311333200
513033440000011
6525251542212
7100214022554
oct16647657740
95120742128
101990156256
11931433940
124765ba968
1325940b96a
1414c455864
15b9abaddb
hex769f5fe0

1990156256 has 48 divisors (see below), whose sum is σ = 4305616560. Its totient is φ = 897991680.

The previous prime is 1990156253. The next prime is 1990156261. The reversal of 1990156256 is 6526510991.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1990156253) 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, 27590 + ... + 68858.

It is an arithmetic number, because the mean of its divisors is an integer number (89700345).

Almost surely, 21990156256 is an apocalyptic number.

1990156256 is a gapful number since it is divisible by the number (16) 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 1990156256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152808280).

1990156256 is an abundant number, since it is smaller than the sum of its proper divisors (2315460304).

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

1990156256 is a wasteful number, since it uses less digits than its factorization.

1990156256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41427 (or 41419 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 44.

The square root of 1990156256 is about 44611.1673911365. The cubic root of 1990156256 is about 1257.8505926159.

The spelling of 1990156256 in words is "one billion, nine hundred ninety million, one hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 137 176 274 352 548 1096 1507 2192 3014 4384 6028 12056 24112 41269 48224 82538 165076 330152 453959 660304 907918 1320608 1815836 3631672 5653853 7263344 11307706 14526688 22615412 45230824 62192383 90461648 124384766 180923296 248769532 497539064 995078128 1990156256