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131968450 = 252171071451
BaseRepresentation
bin1111101110110…
…10110111000010
3100012022200200101
413313122313002
5232240442300
621032313014
73161466445
oct767326702
9305280611
10131968450
1168546939
123824276a
1321457753
141375365c
15b8bbb6a
hex7ddadc2

131968450 has 48 divisors (see below), whose sum is σ = 262509984. Its totient is φ = 49184000.

The previous prime is 131968409. The next prime is 131968469. The reversal of 131968450 is 54869131.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 90225 + ... + 91675.

It is an arithmetic number, because the mean of its divisors is an integer number (5468958).

Almost surely, 2131968450 is an apocalyptic number.

131968450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131968450 is a deficient number, since it is larger than the sum of its proper divisors (130541534).

131968450 is a wasteful number, since it uses less digits than its factorization.

131968450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 131968450 is about 11487.7521735107. The cubic root of 131968450 is about 509.1237677365.

The spelling of 131968450 in words is "one hundred thirty-one million, nine hundred sixty-eight thousand, four hundred fifty".

Divisors: 1 2 5 10 17 25 34 50 85 107 170 214 425 535 850 1070 1451 1819 2675 2902 3638 5350 7255 9095 14510 18190 24667 36275 45475 49334 72550 90950 123335 155257 246670 310514 616675 776285 1233350 1552570 2639369 3881425 5278738 7762850 13196845 26393690 65984225 131968450