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4070320 = 24583613
BaseRepresentation
bin1111100001101110110000
321122210102121
433201232300
52020222240
6223124024
746411552
oct17415660
97583377
104070320
112330101
121443614
13ac6897
1477d4d2
1555604a
hex3e1bb0

4070320 has 40 divisors (see below), whose sum is σ = 9593136. Its totient is φ = 1605888.

The previous prime is 4070309. The next prime is 4070321. The reversal of 4070320 is 230704.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4070294 and 4070303.

It is not an unprimeable number, because it can be changed into a prime (4070321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6334 + ... + 6946.

Almost surely, 24070320 is an apocalyptic number.

4070320 is a gapful number since it is divisible by the number (40) 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 4070320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796568).

4070320 is an abundant number, since it is smaller than the sum of its proper divisors (5522816).

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

4070320 is a wasteful number, since it uses less digits than its factorization.

4070320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 16.

The square root of 4070320 is about 2017.5034076799. The cubic root of 4070320 is about 159.6649237643.

The spelling of 4070320 in words is "four million, seventy thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 332 415 613 664 830 1226 1328 1660 2452 3065 3320 4904 6130 6640 9808 12260 24520 49040 50879 101758 203516 254395 407032 508790 814064 1017580 2035160 4070320