Search a number
-
+
147195090 = 23357194099
BaseRepresentation
bin10001100011000…
…00010011010010
3101020222021201000
420301200103102
5300140220330
622334522430
73435065130
oct1061402322
9336867630
10147195090
11760a6939
1241366416
13246592b3
1415798750
15cdc8560
hex8c604d2

147195090 has 128 divisors (see below), whose sum is σ = 472320000. Its totient is φ = 31866048.

The previous prime is 147195089. The next prime is 147195107. The reversal of 147195090 is 90591741.

147195090 is a `hidden beast` number, since 147 + 1 + 9 + 509 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33861 + ... + 37959.

It is an arithmetic number, because the mean of its divisors is an integer number (3690000).

Almost surely, 2147195090 is an apocalyptic number.

147195090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 147195090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236160000).

147195090 is an abundant number, since it is smaller than the sum of its proper divisors (325124910).

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

147195090 is a wasteful number, since it uses less digits than its factorization.

147195090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141 (or 4135 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 147195090 is about 12132.3983614123. The cubic root of 147195090 is about 527.9965779737.

The spelling of 147195090 in words is "one hundred forty-seven million, one hundred ninety-five thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 27 30 35 38 42 45 54 57 63 70 90 95 105 114 126 133 135 171 189 190 210 266 270 285 315 342 378 399 513 570 630 665 798 855 945 1026 1197 1330 1710 1890 1995 2394 2565 3591 3990 4099 5130 5985 7182 8198 11970 12297 17955 20495 24594 28693 35910 36891 40990 57386 61485 73782 77881 86079 110673 122970 143465 155762 172158 184455 221346 233643 258237 286930 368910 389405 430395 467286 516474 545167 553365 700929 774711 778810 860790 1090334 1106730 1168215 1291185 1401858 1549422 1635501 2102787 2336430 2582370 2725835 3271002 3504645 3873555 4205574 4906503 5451670 7009290 7747110 8177505 9813006 10513935 14719509 16355010 21027870 24532515 29439018 49065030 73597545 147195090