Search a number
-
+
196164045 = 335711113167
BaseRepresentation
bin10111011000100…
…11100111001101
3111200010011111000
423230103213031
5400204222140
631244250513
74601236560
oct1354234715
9450104430
10196164045
11a0802a50
1255840a39
13318432cc
141c0a44d7
151234ca30
hexbb139cd

196164045 has 128 divisors (see below), whose sum is σ = 441262080. Its totient is φ = 80317440.

The previous prime is 196164043. The next prime is 196164053. The reversal of 196164045 is 540461691.

196164045 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 640 + 4 + 5 = 666.

It is not a de Polignac number, because 196164045 - 21 = 196164043 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196164043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1174552 + ... + 1174718.

It is an arithmetic number, because the mean of its divisors is an integer number (3447360).

Almost surely, 2196164045 is an apocalyptic number.

196164045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

196164045 is an abundant number, since it is smaller than the sum of its proper divisors (245098035).

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

196164045 is a wasteful number, since it uses less digits than its factorization.

196164045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 196164045 is about 14005.8575246216. The cubic root of 196164045 is about 581.0405863718.

The spelling of 196164045 in words is "one hundred ninety-six million, one hundred sixty-four thousand, forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 113 135 165 167 189 231 297 315 339 385 495 501 565 693 791 835 945 1017 1155 1169 1243 1485 1503 1695 1837 2079 2373 2505 3051 3465 3507 3729 3955 4509 5085 5511 5845 6215 7119 7515 8701 9185 10395 10521 11187 11865 12859 15255 16533 17535 18645 18871 21357 22545 26103 27555 31563 33561 35595 38577 43505 49599 52605 55935 56613 64295 78309 82665 94355 106785 115731 130515 132097 157815 167805 169839 192885 207581 234927 247995 283065 347193 391545 396291 509517 578655 622743 660485 849195 1037905 1174635 1188873 1453067 1735965 1868229 1981455 2547585 3113715 3566619 4359201 5604687 5944365 7265335 9341145 13077603 17833095 21796005 28023435 39232809 65388015 196164045