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132093738 = 232719232399
BaseRepresentation
bin1111101111110…
…01011100101010
3100012120001112200
413313321130222
5232303444423
621035121030
73162530640
oct767713452
9305501480
10132093738
1168621a87
12382a3176
132149c79a
1413787190
15b8e3d43
hex7df972a

132093738 has 96 divisors (see below), whose sum is σ = 359424000. Its totient is φ = 34185888.

The previous prime is 132093713. The next prime is 132093739. The reversal of 132093738 is 837390231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (132093739) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53863 + ... + 56261.

It is an arithmetic number, because the mean of its divisors is an integer number (3744000).

Almost surely, 2132093738 is an apocalyptic number.

132093738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132093738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179712000).

132093738 is an abundant number, since it is smaller than the sum of its proper divisors (227330262).

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

132093738 is a wasteful number, since it uses less digits than its factorization.

132093738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 132093738 is about 11493.2039919250. The cubic root of 132093738 is about 509.2848338176.

The spelling of 132093738 in words is "one hundred thirty-two million, ninety-three thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 23 38 42 46 57 63 69 114 126 133 138 161 171 207 266 322 342 399 414 437 483 798 874 966 1197 1311 1449 2394 2399 2622 2898 3059 3933 4798 6118 7197 7866 9177 14394 16793 18354 21591 27531 33586 43182 45581 50379 55062 55177 91162 100758 110354 136743 151137 165531 273486 302274 319067 331062 386239 410229 496593 638134 772478 820458 957201 993186 1048363 1158717 1914402 2096726 2317434 2871603 3145089 3476151 5743206 6290178 6952302 7338541 9435267 14677082 18870534 22015623 44031246 66046869 132093738