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1070423424 = 27347443
BaseRepresentation
bin111111110011010…
…101110110000000
32202121012010220000
4333303111312000
54143012022144
6254114520000
735345310000
oct7763256600
92677163800
101070423424
114aa253a64
1225a596000
131409c6655
14a2240000
1563e92769
hex3fcd5d80

1070423424 has 400 divisors, whose sum is σ = 3802693620. Its totient is φ = 298722816.

The previous prime is 1070423383. The next prime is 1070423429. The reversal of 1070423424 is 4243240701.

It is a super-2 number, since 2×10704234242 = 2291612613295767552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070423429) by changing a digit.

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 49 ways as a sum of consecutive naturals, for example, 24893547 + ... + 24893589.

Almost surely, 21070423424 is an apocalyptic number.

1070423424 is a gapful number since it is divisible by the number (14) 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 1070423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901346810).

1070423424 is an abundant number, since it is smaller than the sum of its proper divisors (2732270196).

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

1070423424 is an frugal number, since it uses more digits than its factorization.

1070423424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 1070423424 is about 32717.3260521088. The cubic root of 1070423424 is about 1022.9440204660.

The spelling of 1070423424 in words is "one billion, seventy million, four hundred twenty-three thousand, four hundred twenty-four".