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4070080 = 26572379
BaseRepresentation
bin1111100001101011000000
321122210002201
433201223000
52020220310
6223122544
746411060
oct17415300
97583081
104070080
11232aa03
121443454
13ac6741
1477d3a0
15555e3a
hex3e1ac0

4070080 has 112 divisors (see below), whose sum is σ = 11704320. Its totient is φ = 1317888.

The previous prime is 4070069. The next prime is 4070093. The reversal of 4070080 is 800704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51481 + ... + 51559.

Almost surely, 24070080 is an apocalyptic number.

4070080 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 4070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852160).

4070080 is an abundant number, since it is smaller than the sum of its proper divisors (7634240).

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

4070080 is a wasteful number, since it uses less digits than its factorization.

4070080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 4070080 is about 2017.4439273497. The cubic root of 4070080 is about 159.6617855725.

Adding to 4070080 its reverse (800704), we get a palindrome (4870784).

The spelling of 4070080 in words is "four million, seventy thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 79 80 92 112 115 140 158 160 161 184 224 230 280 316 320 322 368 395 448 460 553 560 632 644 736 790 805 920 1106 1120 1264 1288 1472 1580 1610 1817 1840 2212 2240 2528 2576 2765 3160 3220 3634 3680 4424 5056 5152 5530 6320 6440 7268 7360 8848 9085 10304 11060 12640 12719 12880 14536 17696 18170 22120 25280 25438 25760 29072 35392 36340 44240 50876 51520 58144 63595 72680 88480 101752 116288 127190 145360 176960 203504 254380 290720 407008 508760 581440 814016 1017520 2035040 4070080