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132201930 = 235723101271
BaseRepresentation
bin1111110000100…
…11110111001010
3100012202112221210
413320103313022
5232320430210
621041313550
73163461240
oct770236712
9305675853
10132201930
11686962a3
12383358b6
1321509ac3
14137b4790
15b915e20
hex7e13dca

132201930 has 128 divisors (see below), whose sum is σ = 383533056. Its totient is φ = 28512000.

The previous prime is 132201919. The next prime is 132201931. The reversal of 132201930 is 39102231.

It is a happy number.

132201930 is a nontrivial binomial coefficient, being equal to C(16261, 2).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 132201897 and 132201906.

It is not an unprimeable number, because it can be changed into a prime (132201931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 487695 + ... + 487965.

It is an arithmetic number, because the mean of its divisors is an integer number (2996352).

Almost surely, 2132201930 is an apocalyptic number.

132201930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132201930 is the 16260-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132201930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191766528).

132201930 is an abundant number, since it is smaller than the sum of its proper divisors (251331126).

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

132201930 is a wasteful number, since it uses less digits than its factorization.

132201930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 132201930 is about 11497.9098100481. The cubic root of 132201930 is about 509.4238399228.

The spelling of 132201930 in words is "one hundred thirty-two million, two hundred one thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 101 105 115 138 161 202 210 230 271 303 322 345 483 505 542 606 690 707 805 813 966 1010 1355 1414 1515 1610 1626 1897 2121 2323 2415 2710 3030 3535 3794 4065 4242 4646 4830 5691 6233 6969 7070 8130 9485 10605 11382 11615 12466 13938 16261 18699 18970 21210 23230 27371 28455 31165 32522 34845 37398 43631 48783 54742 56910 62330 69690 81305 82113 87262 93495 97566 130893 136855 162610 164226 186990 191597 218155 243915 261786 273710 383194 410565 436310 487830 574791 629533 654465 821130 957985 1149582 1259066 1308930 1888599 1915970 2873955 3147665 3777198 4406731 5747910 6295330 8813462 9442995 13220193 18885990 22033655 26440386 44067310 66100965 132201930