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132954990 = 23576197107
BaseRepresentation
bin1111110110010…
…11101101101110
3100021011210221220
413323023231232
5233014024430
621105404210
73203045610
oct773135556
9307153856
10132954990
1169060063
1238639666
13217117bc
141392cdb0
15ba14110
hex7ecbb6e

132954990 has 128 divisors (see below), whose sum is σ = 377975808. Its totient is φ = 29306880.

The previous prime is 132954967. The next prime is 132955013. The reversal of 132954990 is 99459231.

132954990 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132954967) and next prime (132955013).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1242517 + ... + 1242623.

It is an arithmetic number, because the mean of its divisors is an integer number (2952936).

Almost surely, 2132954990 is an apocalyptic number.

132954990 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 132954990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188987904).

132954990 is an abundant number, since it is smaller than the sum of its proper divisors (245020818).

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

132954990 is a wasteful number, since it uses less digits than its factorization.

132954990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282.

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 132954990 is about 11530.6109985551. The cubic root of 132954990 is about 510.3892837140.

The spelling of 132954990 in words is "one hundred thirty-two million, nine hundred fifty-four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 61 70 97 105 107 122 183 194 210 214 291 305 321 366 427 485 535 582 610 642 679 749 854 915 970 1070 1281 1358 1455 1498 1605 1830 2037 2135 2247 2562 2910 3210 3395 3745 4074 4270 4494 5917 6405 6527 6790 7490 10185 10379 11235 11834 12810 13054 17751 19581 20370 20758 22470 29585 31137 32635 35502 39162 41419 45689 51895 59170 62274 65270 72653 82838 88755 91378 97905 103790 124257 137067 145306 155685 177510 195810 207095 217959 228445 248514 274134 311370 363265 414190 435918 456890 621285 633119 685335 726530 1089795 1242570 1266238 1370670 1899357 2179590 3165595 3798714 4431833 6331190 8863666 9496785 13295499 18993570 22159165 26590998 44318330 66477495 132954990