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960497460 = 2233513612243
BaseRepresentation
bin111001010000000…
…000011100110100
32110221100022211000
4321100000130310
53431341404320
6235150443300
732542044066
oct7120003464
92427308730
10960497460
114531a2a5a
12229803530
13123cb8bc0
14917c7736
15594cbc90
hex39400734

960497460 has 192 divisors, whose sum is σ = 3272290560. Its totient is φ = 232450560.

The previous prime is 960497449. The next prime is 960497471. The reversal of 960497460 is 64794069.

It is an interprime number because it is at equal distance from previous prime (960497449) and next prime (960497471).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 427099 + ... + 429341.

It is an arithmetic number, because the mean of its divisors is an integer number (17043180).

Almost surely, 2960497460 is an apocalyptic number.

960497460 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960497460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636145280).

960497460 is an abundant number, since it is smaller than the sum of its proper divisors (2311793100).

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

960497460 is a wasteful number, since it uses less digits than its factorization.

960497460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 960497460 is about 30991.8934561927. The cubic root of 960497460 is about 986.6551950111.

The spelling of 960497460 in words is "nine hundred sixty million, four hundred ninety-seven thousand, four hundred sixty".