Search a number
-
+
210089792 = 26111072789
BaseRepresentation
bin11001000010110…
…11011101000000
3112122022200000102
430201123131000
5412240333132
632502541532
75130506453
oct1441333500
9478280012
10210089792
11a8654630
125a4378a8
13346aa9b3
141dc8b49a
151369dc62
hexc85b740

210089792 has 56 divisors (see below), whose sum is σ = 459211680. Its totient is φ = 94568960.

The previous prime is 210089779. The next prime is 210089801. The reversal of 210089792 is 297980012.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73934 + ... + 76722.

Almost surely, 2210089792 is an apocalyptic number.

210089792 is a gapful number since it is divisible by the number (22) 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 210089792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229605840).

210089792 is an abundant number, since it is smaller than the sum of its proper divisors (249121888).

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

210089792 is a wasteful number, since it uses less digits than its factorization.

210089792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2919 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 210089792 is about 14494.4745334213. The cubic root of 210089792 is about 594.4769001317.

The spelling of 210089792 in words is "two hundred ten million, eighty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 107 176 214 352 428 704 856 1177 1712 2354 2789 3424 4708 5578 6848 9416 11156 18832 22312 30679 37664 44624 61358 75328 89248 122716 178496 245432 298423 490864 596846 981728 1193692 1963456 2387384 3282653 4774768 6565306 9549536 13130612 19099072 26261224 52522448 105044896 210089792