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1970278440 = 2335132389617
BaseRepresentation
bin111010101110000…
…0001000000101000
312002022102111220120
41311130001000220
513013342402230
6523301523240
766553043004
oct16534010050
95068374816
101970278440
11921197399
1246ba13520
1325526c040
1414995d704
15b7e91310
hex75701028

1970278440 has 256 divisors, whose sum is σ = 6727795200. Its totient is φ = 457949184.

The previous prime is 1970278363. The next prime is 1970278469. The reversal of 1970278440 is 448720791.

It is a happy number.

It is a super-2 number, since 2×19702784402 = 7763994262257667200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1970278392 and 1970278401.

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, 3193012 + ... + 3193628.

It is an arithmetic number, because the mean of its divisors is an integer number (26280450).

Almost surely, 21970278440 is an apocalyptic number.

1970278440 is a gapful number since it is divisible by the number (10) 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 1970278440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3363897600).

1970278440 is an abundant number, since it is smaller than the sum of its proper divisors (4757516760).

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

1970278440 is a wasteful number, since it uses less digits than its factorization.

1970278440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 1970278440 is about 44387.8185992509. The cubic root of 1970278440 is about 1253.6487395302.

The spelling of 1970278440 in words is "one billion, nine hundred seventy million, two hundred seventy-eight thousand, four hundred forty".