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1960298496 = 2113613101
BaseRepresentation
bin111010011010111…
…1100100000000000
312001121122111000000
41310311330200000
513003314022441
6522304000000
766402155652
oct16465744000
95047574000
101960298496
119165a0302
12468600000
13253186650
141484c26d2
15b716e2b6
hex74d7c800

1960298496 has 336 divisors, whose sum is σ = 6391492380. Its totient is φ = 597196800.

The previous prime is 1960298489. The next prime is 1960298503. The reversal of 1960298496 is 6948920691.

1960298496 is a `hidden beast` number, since 1 + 9 + 60 + 2 + 98 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (1960298489) and next prime (1960298503).

It can be written as a sum of positive squares in 2 ways, for example, as 1941636096 + 18662400 = 44064^2 + 4320^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 19408846 + ... + 19408946.

Almost surely, 21960298496 is an apocalyptic number.

1960298496 is a gapful number since it is divisible by the number (16) 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 1960298496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195746190).

1960298496 is an abundant number, since it is smaller than the sum of its proper divisors (4431193884).

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

1960298496 is an equidigital number, since it uses as much as digits as its factorization.

1960298496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 1960298496 is about 44275.2582827023. The cubic root of 1960298496 is about 1251.5284760603.

The spelling of 1960298496 in words is "one billion, nine hundred sixty million, two hundred ninety-eight thousand, four hundred ninety-six".