Search a number
-
+
1355164590 = 235133793913
BaseRepresentation
bin101000011000110…
…0010101110101110
310111102222111100010
41100301202232232
510233410231330
6342245514050
745403465113
oct12061425656
93442874303
101355164590
11635a5623a
12319a12926
131879b1050
14cbda090a
157de8a3b0
hex50c62bae

1355164590 has 64 divisors (see below), whose sum is σ = 3597281856. Its totient is φ = 324559872.

The previous prime is 1355164589. The next prime is 1355164621. The reversal of 1355164590 is 954615531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32527 + ... + 61386.

It is an arithmetic number, because the mean of its divisors is an integer number (56207529).

Almost surely, 21355164590 is an apocalyptic number.

1355164590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1355164590 is an abundant number, since it is smaller than the sum of its proper divisors (2242117266).

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

1355164590 is a wasteful number, since it uses less digits than its factorization.

1355164590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93973.

The product of its (nonzero) digits is 81000, while the sum is 39.

The square root of 1355164590 is about 36812.5602206638. The cubic root of 1355164590 is about 1106.6170274383.

The spelling of 1355164590 in words is "one billion, three hundred fifty-five million, one hundred sixty-four thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 185 195 222 370 390 481 555 962 1110 1443 2405 2886 4810 7215 14430 93913 187826 281739 469565 563478 939130 1220869 1408695 2441738 2817390 3474781 3662607 6104345 6949562 7325214 10424343 12208690 17373905 18313035 20848686 34747810 36626070 45172153 52121715 90344306 104243430 135516459 225860765 271032918 451721530 677582295 1355164590