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4070440 = 235112292
BaseRepresentation
bin1111100001110000101000
321122210121001
433201300220
52020223230
6223124344
746412113
oct17416050
97583531
104070440
112330200
1214436b4
13ac695a
1477d57a
155560ca
hex3e1c28

4070440 has 72 divisors (see below), whose sum is σ = 10425870. Its totient is φ = 1429120.

The previous prime is 4070431. The next prime is 4070447. The reversal of 4070440 is 440704.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3334276 + 736164 = 1826^2 + 858^2 .

It is not an unprimeable number, because it can be changed into a prime (4070447) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 140346 + ... + 140374.

Almost surely, 24070440 is an apocalyptic number.

4070440 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 4070440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212935).

4070440 is an abundant number, since it is smaller than the sum of its proper divisors (6355430).

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

4070440 is a wasteful number, since it uses less digits than its factorization.

4070440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 4070440 is about 2017.5331471874. The cubic root of 4070440 is about 159.6664928140. Note that the first 3 decimals are identical.

The spelling of 4070440 in words is "four million, seventy thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 121 145 220 232 242 290 319 440 484 580 605 638 841 968 1160 1210 1276 1595 1682 2420 2552 3190 3364 3509 4205 4840 6380 6728 7018 8410 9251 12760 14036 16820 17545 18502 28072 33640 35090 37004 46255 70180 74008 92510 101761 140360 185020 203522 370040 407044 508805 814088 1017610 2035220 4070440