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132013416 = 233131199211
BaseRepresentation
bin1111101111001…
…01110101101000
3100012101222100210
413313211311220
5232243412131
621033301120
73162044523
oct767456550
9305358323
10132013416
11685776a7
12382647a0
1321472062
1413765bba
15b8ca146
hex7de5d68

132013416 has 64 divisors (see below), whose sum is σ = 335808000. Its totient is φ = 43243200.

The previous prime is 132013379. The next prime is 132013417. The reversal of 132013416 is 614310231.

It is a junction number, because it is equal to n+sod(n) for n = 132013392 and 132013401.

It is not an unprimeable number, because it can be changed into a prime (132013417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625551 + ... + 625761.

It is an arithmetic number, because the mean of its divisors is an integer number (5247000).

Almost surely, 2132013416 is an apocalyptic number.

It is an amenable number.

132013416 is an abundant number, since it is smaller than the sum of its proper divisors (203794584).

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

132013416 is a wasteful number, since it uses less digits than its factorization.

132013416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 132013416 is about 11489.7091346996. The cubic root of 132013416 is about 509.1815862521.

Adding to 132013416 its reverse (614310231), we get a palindrome (746323647).

The spelling of 132013416 in words is "one hundred thirty-two million, thirteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 131 199 211 262 393 398 422 524 597 633 786 796 844 1048 1194 1266 1572 1592 1688 2388 2532 3144 4776 5064 26069 27641 41989 52138 55282 78207 82923 83978 104276 110564 125967 156414 165846 167956 208552 221128 251934 312828 331692 335912 503868 625656 663384 1007736 5500559 11001118 16501677 22002236 33003354 44004472 66006708 132013416