Search a number
-
+
190506816 = 263436749
BaseRepresentation
bin10110101101011…
…10011101000000
3111021110202020000
423112232131000
5342232204231
630523120000
74502165313
oct1326563500
9437422200
10190506816
1198599655
1253973000
1330612336
141b43097a
1511ad16e6
hexb5ae740

190506816 has 70 divisors (see below), whose sum is σ = 564737250. Its totient is φ = 63500544.

The previous prime is 190506809. The next prime is 190506847. The reversal of 190506816 is 618605091.

190506816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 127780416 + 62726400 = 11304^2 + 7920^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13191 + ... + 23558.

It is an arithmetic number, because the mean of its divisors is an integer number (8067675).

Almost surely, 2190506816 is an apocalyptic number.

190506816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

190506816 is an abundant number, since it is smaller than the sum of its proper divisors (374230434).

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

190506816 is an equidigital number, since it uses as much as digits as its factorization.

190506816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36773 (or 36754 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 190506816 is about 13802.4206572615. The cubic root of 190506816 is about 575.4004177532.

The spelling of 190506816 in words is "one hundred ninety million, five hundred six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 36749 73498 110247 146996 220494 293992 330741 440988 587984 661482 881976 992223 1175968 1322964 1763952 1984446 2351936 2645928 2976669 3527904 3968892 5291856 5953338 7055808 7937784 10583712 11906676 15875568 21167424 23813352 31751136 47626704 63502272 95253408 190506816