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960825132 = 22338999961
BaseRepresentation
bin111001010001010…
…000011100101100
32110221221222022000
4321101100130230
53431432401012
6235201452300
732544610311
oct7121203454
92427858260
10960825132
114533a7163
12229941090
131240a20a7
1491870d08
1559543ddc
hex3945072c

960825132 has 48 divisors (see below), whose sum is σ = 2519042400. Its totient is φ = 316673280.

The previous prime is 960825127. The next prime is 960825137. The reversal of 960825132 is 231528069.

960825132 is a `hidden beast` number, since 9 + 60 + 82 + 513 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (960825127) and next prime (960825137).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (960825137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40369 + ... + 59592.

It is an arithmetic number, because the mean of its divisors is an integer number (52480050).

Almost surely, 2960825132 is an apocalyptic number.

It is an amenable number.

960825132 is an abundant number, since it is smaller than the sum of its proper divisors (1558217268).

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

960825132 is a wasteful number, since it uses less digits than its factorization.

960825132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100063 (or 100055 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 960825132 is about 30997.1794200698. The cubic root of 960825132 is about 986.7673808097.

The spelling of 960825132 in words is "nine hundred sixty million, eight hundred twenty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 89 108 178 267 356 534 801 1068 1602 2403 3204 4806 9612 99961 199922 299883 399844 599766 899649 1199532 1799298 2698947 3598596 5397894 8896529 10795788 17793058 26689587 35586116 53379174 80068761 106758348 160137522 240206283 320275044 480412566 960825132