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132401248 = 2572331829
BaseRepresentation
bin1111110010001…
…00100001100000
3100020010200100221
413321010201200
5232343314443
621045452424
73165251320
oct771044140
9306120327
10132401248
1168812021
1238411114
1321579745
1413827280
15b954eed
hex7e44860

132401248 has 96 divisors (see below), whose sum is σ = 321269760. Its totient is φ = 52462080.

The previous prime is 132401239. The next prime is 132401333. The reversal of 132401248 is 842104231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159298 + ... + 160126.

It is an arithmetic number, because the mean of its divisors is an integer number (3346560).

Almost surely, 2132401248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132401248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160634880).

132401248 is an abundant number, since it is smaller than the sum of its proper divisors (188868512).

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

132401248 is a wasteful number, since it uses less digits than its factorization.

132401248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 132401248 is about 11506.5741209102. The cubic root of 132401248 is about 509.6797271480.

Adding to 132401248 its reverse (842104231), we get a palindrome (974505479).

The spelling of 132401248 in words is "one hundred thirty-two million, four hundred one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 92 112 124 161 184 217 224 248 322 368 434 496 644 713 736 829 868 992 1288 1426 1658 1736 2576 2852 3316 3472 4991 5152 5704 5803 6632 6944 9982 11408 11606 13264 19067 19964 22816 23212 25699 26528 38134 39928 46424 51398 76268 79856 92848 102796 133469 152536 159712 179893 185696 205592 266938 305072 359786 411184 533876 591077 610144 719572 822368 1067752 1182154 1439144 2135504 2364308 2878288 4137539 4271008 4728616 5756576 8275078 9457232 16550156 18914464 33100312 66200624 132401248